Culp helped anchor the Kansas City defensive line. Culp spent seven seasons in Kansas City (1968–1974). He was a starting defensive tackle on the Chiefs Super Bowl IV squad and appeared in 82 games with Kansas City. A member of the Chiefs 25-Year All-Time Team, Culp played in the 1969 AFL All-Star Game and the 1971 Pro Bowl. He was twice honored as the Associated Press Defensive Player of the Week and claimed the Chiefs unofficial sack crown in 1973 with nine QB takedowns. Culp also registered five fumble recoveries in his Kansas City career.