Kosmos 388 ( meaning Cosmos 388), known before launch as DS-P1-Yu No.43, was a Soviet satellite which was launched in 1970 as part of the Dnepropetrovsk Sputnik programme. It was a spacecraft, which was built by the Yuzhnoye Design Bureau, and was used as a radar calibration target for anti-ballistic missile tests.

Launch Kosmos 388 was successfully launched into low Earth orbit on 18 December 1970, with the rocket lifting off at 09:39:13 UTC. The launch took place from Site 133/1 at the Plesetsk Cosmodrome, and used a Kosmos-2I 63SM carrier rocket. Upon reaching orbit, it was assigned its Kosmos designation, and received the International Designator 1970-112A.

Orbit Kosmos 388 was the thirty-eighth of seventy nine DS-P1-Yu satellites to be launched, and the thirty-fifth of seventy two to successfully reach orbit. It was operated in an orbit with a perigee of , an apogee of , 70.9 degrees of inclination, and an orbital period of 92 minutes. It remained in orbit until it decayed and reentered the atmosphere on 10 May 1971.

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