Davenport took part in his first Olympics in 1964, but injured his thigh and was eliminated in the semifinals. He competed in the 110 m hurdles at the 1964, 1968, 1972 and 1976 Summer Olympics, winning a gold medal in 1968 and a bronze in 1976, and finishing fourth in 1972. In 1980 he took part in the Winter Olympics as a runner for the American bobsleigh team. Because of the boycott, and the quirk of participating in the Winter Olympics, he was the only U.S. track and field athlete to participate in the 1980 Olympics.[1][2] In Mexico City in 1968, he reached the final and won, later saying, "From the first step, the gun, I knew I had won the race." In 1972 he finished fourth, and in his third consecutive Olympic 110 m hurdles final, in 1976, he won a bronze medal.
Davenport was a member of the Southern Jaguars football team in college, and immediately departed the 1968 Olympics after winning the gold to join the team for the final games.[3] He was drafted by the New Orleans Saints as a wide receiver in the sixth round (138th overall) of the 1969 NFL/AFL draft, but a misunderstanding about his college eligibility prompted the Saints to withdraw the selection.[4] When it turned out he was allowed to play, the San Diego Chargers picked him in the 16th round (408th overall) but he and the team could not agree to a contract.[5] The Saints drafted him again in 1970 in the 12th round (296th overall) as a defensive back, though he did not join them either.[6][7]
At his last Olympics in 1980, Davenport was a bobsleigh runner, ending up 12th in the four-man competition. Davenport's other achievements include five national championships in the 60 yard hurdles indoor event.[1] By participating in the 1980 bobsleigh competition, he became one of the first two African Americans to compete in the bobsled in the Winter Olympics. Jeff Gadley, a decathlete from State University of New York at Plattsburgh, competed internationally in the four-man bobsled for the US the year before the Lake Placid Olympics, then Davenport joined Gadley's team right before the 1980 Olympics. Davenport drew much media attention, but was not the first.
In 1985, Davenport competed at the Masters Outdoor World Championship in Rome.[8]