The three certainties compose a rule within English trusts law on the creation of express trusts that, to be valid, the trust instrument must show certainty of intention, subject matter and object. "Certainty of intention" means that it must be clear that the donor or testator wishes to create a trust; this is not dependent on any particular language used, and a trust can be created without the word "trust" being used, or even the donor knowing he is creating a trust. Since the 1950s, the courts have been more willing to conclude that there was intention to create a trust, rather than hold that the trust is void. "Certainty of subject matter" means that it must be clear what property is part of the trust. Historically the property must have been segregated from non-trust property; more recently, the courts have drawn a line between tangible and intangible assets, holding that with intangible assets there is not always a need for segregation. "Certainty of objects" means that it must be clear who the beneficiaries, or objects, are. The test for determining this differs depending on the type of trust; it can be that all beneficiaries must be individually identified, or that the trustees must be able to say with certainty, if a claimant comes before them whether; they are or are not a beneficiary.

There are four categories of uncertainty that can affect the validity of a trust: conceptual uncertainty, evidential uncertainty, ascertainability and administrative unworkability. "Conceptual uncertainty" is where the language is unclear, something which leads to the trust being declared invalid. "Evidential uncertainty" is where a question of fact, such as whether a claimant is a beneficiary, cannot be answered; this does not always lead to invalidity. "Ascertainability" is where a beneficiary cannot be found, while "administrative unworkability" is where the nature of the trust is such that it cannot realistically be carried out. Trustees and the courts have developed various ways of getting around uncertainties, including the appointment of experts to work out evidential uncertainty, and giving trustees the power to decide who is or is not a beneficiary.

The rule came out of the case of Knight v Knight.(1840) 3 Beav 148 The testator, after giving away his personal and real property, added to the end of his will that "I trust to the justice of my successors, in continuing the estates in the male succession, according to the will of the founder of the family". Langdale MR, hearing the case, held that this was not specific enough to create a valid trust;Hill (1854) p.97 furthermore, to be held as valid, trust instruments would have to have: Certainty of intention: it must be clear that the testator intends to create a trust Certainty of subject matter: it must be clear what property is part of the trust and property, including sum of money, cannot be separated. Certainty of objects: it must be clear who the beneficiaries (objects) are.Bowman v Secular Society AC 406

Note: The 'Three certainties' rule is not novel to Knight v Knight. It was first stated in Wright v Atkyns,(1823) Turn & R 143, 157 by Earl Eldon LC.

Certainty of intention

The first principle when deciding if there is certainty of intention is the nature of the language used; the words, as said in Wright v Atkyns,(1823) Turn & R 143 "must be imperative". Past this, there is no requirement that particular language be used. In Re Kayford, 1 All ER 604 Megarry J held that "it is well settled that a trust can be created without using the word "trust" or "confidence" or the like; the question is whether in substance a sufficient intention to create a trust has been manifested". In Paul v Constance, 1 All ER 195 it was held that the phrase "the money is as much yours as it is mine" was sufficient to translate to a trust. A trust will not be formed if it is clear that some other intention was there, such as the intention to make a pure gift, as in Jones v Lock.(1865) LR 1 Ch App 25Edwards (2007) p.93 Historically, precatory words such as "it is hoped" and "it is desired" were held to be valid. Since Lambe v Eames, 6 Ch App 597 the courts have instead taken the approach that the circumstances and the reading of the statement as a whole are the factors, and that no particular words will impose a trust on their own.Edwards (2007) p.95

It is possible to create an express trust without being aware that one is doing so, so long as the court can determine from the person's intention that a beneficial entitlement should be conferred which the law (or equity) will enforce. In the Constance case, Constance was described as a man of "unsophisticated character" who did not know he was creating a trustsee: "Byrnes v Kendle HCA 26 – nevertheless, the courts found that was what he had done. In Re Kayford, the company involved took actions to protect its customers by moving their funds into a separate bank account. Even though they had never indicated a desire to create a trust, their intention had been in line with the purpose of a trust, and thus it was considered valid. Many trusts are formed through wills, which create additional issues when determining intention. In Re Hamilton, 2 Ch 370 Lindley LJ set out the standard rule that to "take the will you have to construe and see what it means, and if you come to the conclusion that no trust was intended you say so"; essentially that judges should not simply assume that there is a trust. This literal approach was followed until the 1950s; since then, the judiciary have been more willing to interpret trust documents in such a way as to make the trusts valid rather than void.Hudson (2009) p.87 According to Byrnes v Kendle, the question that needs to be answered in determining whether a certainty of intention exists is "What is the meaning of what the parties have said?" and not "What did the parties mean to say?"Byrnes v Kendle HCA 26 .

Certainty of subject matter

It is a requirement that the subject matter be certain — that the property intended to be in the trust be separated from other property, showing clarity in what is intended to be trust property. If there is no clear separation, the trust will fail, as in Re Goldcorp Exchange Ltd. 2 All ER 806Hudson (2009) p.97 This point was illustrated by Re London Wine Co (Shippers) Ltd, PCC 121 where creditors of a bankrupt wine trading company argued that they should be able to claim the wine they had paid for. The problem was that these bottles were not individually identifiable, and Oliver J held that: A sum of money, say 10,000, does not satisfy the requirement, rendering uncertainty. This is part of the "orthodox" or "strict" rule, along with Re Goldcorp. The exception to this rule is found in Hunter v Moss, 1 WLR 452 which concerned 50 shares meant to be transferred to an employee out of a total holding of 950. These shares were not individually identified, but Dillon LJ held that this was irrelevant because the shares were all of the same type and in the same company, and so it made no difference which particular shares were transferred.Hudson (2009) p.102 This was applied in Re Harvard Securities, 1 WLR 934 where Neuberger J held that there was a difference between tangible property, such as wine, and intangible property, such as shares. Intangible property, by its very nature, does not require segregation.Hudson (2009) p.104 A failure in the formality of this head would lead to the property being result back to the estate on resulting trust.

Certainty of objects

There is a requirement that the beneficiaries of a trust, known as the objects, be certain. Within express trusts this is a particularly complex area, because the test used to determine certainty varies between fixed trusts, mere powers and discretionary trusts.Hudson (2009) p.117 Fixed trusts are trusts for a specific, named list of individuals, with Alastair Hudson giving the example of "£10,000 to be held upon trust equally for the complete team of 11 Sunderland Football Club players who started the 1992 Cup Final at Wembley". The test for fixed trusts is that the trustees must be able to give a complete list of the beneficiaries, as laid down in IRC v Broadway Cottages. Ch 20 If there are any potential beneficiaries who the trustees are not certain of, or the trustees cannot compile a complete list, the trust is void for uncertainty.Hudson (2009) p.120

A more complex test is found with mere powers. These are where a person is granted the power (the ability) to exercise a trust-like power, but without any obligation to do so, such as "the trustee may give £1,000 to X", or "the trustee can, at his discretion, give £1,000 to X" as opposed to "the trustee shall give £1,000 to X". In Re Hay's ST, 3 All ER 786 Megarry VC said that: The holder of a mere power is therefore free to do what he wants with the property he holds; if he fails to consider his exercise of the power, the courts may force him to do so. The leading test for mere powers is the "any given postulant" test, laid down in Re Gulbenkian. Ch 126 This states that the trustees must be able to say with certainty, when a potential beneficiary comes before them, that he either is or is not a beneficiary.Hudson (2009) pp.123–4

Discretionary trusts are trusts which require that the trustees exercise their powers, in the same way as a fixed trust, but allow some discretion in how to do so, in a similar manner to mere powers. Since trustees hold the discretionary power to choose how to act under an established boundary set out by the settlor of a trust, evidential certainty is not relevant and does not affect discretionary trusts anyway. The leading test of certainty of objects here is also the "any given postulant test", applied to discretionary trusts in McPhail v Doulton. 2 WLR 1110 The courts attempted to mitigate this test in Re Baden’s Deed Trusts (no 2); Ch 9 however, all three judges of the Court of Appeal gave separate reasons. Stamp LJ had an approach based entirely on the facts, with no greater impact on certainty of objects. Sachs LJ took the approach that the burden of proof was on the claimants to prove they were beneficiaries, not on the trustees to prove the trust was valid.Hudson (2009) p.127 Megaw LJ, however, took the approach that a trust could be valid, even with uncertain beneficiaries, if there was a "core number" of beneficiaries who were certain.Hudson (2009) p.128

Uncertainty Where there is not sufficient clarity, the trust may be held void as uncertain. The applicable forms of uncertainty have been categorised as: Conceptual uncertainty. Evidential uncertainty. Ascertainability. Administrative unworkability.Hudson (2009) p.143

Conceptual uncertainty is the "most fundamental in the validity of a trust or power", and is where the language used in the trust is unclear. Examples include where familiar but overly vague terms are used, such as "good customers" or "useful employees"; if the concept cannot be certain, the trust fails.Re Gulbenkian’s Settlements AC 508 Evidential uncertainty, on the other hand, is where there is a question of fact that is impossible to answer, such as when a claimant cannot prove he is a beneficiary. This does not necessarily invalidate the trust, as Jenkins J (as he was then) said in Re Coxen: Ch 747