The men's Greco-Roman welterweight competition at the 1960 Summer Olympics in Rome took place from 26 to 31 August at the Basilica of Maxentius.

[1] Welterweight was the fourth-heaviest category, including wrestlers weighing 67 to 73 kilograms (147.7 to 160.9 lb).

[2] This Greco-Roman wrestling competition continued to use the "bad points" elimination system introduced at the 1928 Summer Olympics for Greco-Roman and at the 1932 Summer Olympics for freestyle wrestling, though adjusted the point values slightly.

The medal round concept, used in 1952 and 1956 requiring a round-robin amongst the medalists even if one or more finished a round with enough points for elimination, was used only if exactly three wrestlers remained after a round—if two competitors remained, they faced off head-to-head; if only one, he was the gold medalist.

Rather than giving one of the wrestlers the substantial advantage of a bye in this round, the three men faced each other in a round-robin.