Walter A. "Pud" Graham (October 2, 1936 – December 3, 2011) was a state legislator in Mississippi. He served in the Mississippi State Senate, including as president pro tempore from 1993 to 1996. He lived in New Albany, Mississippi.

A Democrat, he eventually became a Republican. Democrat Nickey Browning from Pontotoc succeeded him in the state senate after he chose to run for Agriculture commissioner instead of for re-election.

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