James Morton Sims (13 May 1903 – 27 April 1973) was an English cricketer.
Jim Sims represented Middlesex in 381 first-class matches between 1929 and 1952 as a right-handed batsman and off-break bowler who scored 7173 runs (highest score 121) and took 1,257 wickets (best bowling 9/92).
He succeeded Jim Alldis as the Middlesex scorer in 1969.
He continued in this role until his sudden death from a heart attack in 1973.
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