Professional career
Moseley was selected 346th overall in the 14th round of the 1970 NFL draft by the Philadelphia Eagles. He was released by the Eagles in 1971 and signed by the Houston Oilers only to be released again in 1972. He spent two years out of the NFL and moved back to Livingston, Texas, where he installed septic systems and coached high school sports. During this period, he sent letters to two dozen NFL teams and routinely practiced kicking with his children returning his kicks. In 1974, the Washington Redskins signed him as a free agent.
With the retirement of the Minnesota Vikings' Rick Danmeier in 1982, Moseley became the sole full-time straight on placekicker in the National Football League. In the 1960s, the "soccer-style" of kicking (wherein the kicker approaches the ball at an angle and kicks it with the instep) was introduced by the Hungarian brothers Pete and Charlie Gogolak, and it is now universal in the NFL and other levels.
In the strike-shortened 1982 season, Moseley converted 23 straight field goals from 1981 to 1982 (a record at the time), made a league-leading 20 of 21 field goals, a then-record 95.2 success rate, and was responsible for 76 points. He became the first placekicker to ever win the Associated Press NFL Most Valuable Player; (Hall of Famer Lou Groza won the Sporting News NFL Player of the Year Award in 1954 as a placekicker and offensive tackle, followed by George Blanda winning the same as a kicker and quarterback in 1970.) Moseley had a much rougher time in the postseason, missing four field goals in Washington's two postseason games. But in the Washington Redskins' 27–17 victory in Super Bowl XVII over the Miami Dolphins, Moseley kicked two field goals and was successful on all three of his extra point attempts. During the following season, he led the NFL in scoring with 161 points. He also kicked the game-winning field goal in Washington's 24–21 win over the San Francisco 49ers in the NFC championship game, despite missing four prior attempts in the game.
In 1986, the 38-year-old Moseley was released by the Washington Redskins mid-season. He remains their all-time leading scorer with 1,207 points. He signed with the Cleveland Browns and retired at the end of the season, helping them win their divisional playoff game against the New York Jets with a game-winning field goal in double overtime despite missing two field goals in regulation and another in the first overtime period. In what became his final game the following week for the AFC Championship, he made both of his field goals and extra points, but in a game later referred to as "The Drive", the Denver Broncos drove 98 yards to send the game into overtime and subsequently won in overtime.
In his career, Moseley was successful on 300 out of 457 field-goal attempts (65%), successful on 482 out of 512 extra points attempts (94%), and scored a total of 1,382 points. He led the NFL in field goals made four times. He ranked fifth in field goals in NFL history when he retired (one of only five players with 300 field goals) and 5th in extra points (one of 12 with 1,000 points).