Oddleifson was selected 10th overall in the 1970 NHL Amateur Draft by the California Golden Seals following a dominant final junior season with the Winnipeg Jets of the WCHL, during which he finished with 95 points and 243 penalty minutes. At the end of the 1969-70 season the Seals had traded their pick in the first round of the 1971 draft to the Montreal Canadiens, along with Francois Lacombein return for Montreal's first round pick in 1970, Ernie Hicke and cash. As a result of the Seals' dreadful 1970-71 season, the Canadiens owned the top pick in the 1971 draft, and used it to select future Hall of FamerGuy Lafleur, while the Seals drafted Oddleifson with Montreal's number ten selection in 1970. Oddleifson was assigned to the minors and never played an NHL game for the Seals, and was dealt to the Boston Bruins midway through the 1971–72 season. In 1972–73, Oddleifson made his NHL debut, appearing in 6 games for Boston without recording a point. He managed to crack the Bruins full-time in the 1973–74 NHL season. He acquitted himself well, highlighted on December 30, 1973 by a four-goal game against the same Golden Seals that had given up on him two years earlier. Late in the season, he was dealt to the Vancouver Canucks in a deal for sniper Bobby Schmautz, and he finished out his rookie season with decent totals of 13 goals and 29 points in 70 games between Boston and Vancouver. Oddleifson had his breakout year in 1974–75, as he emerged as a leader on a young Canuck team which surprisingly won their division and made the playoffs for the first time in franchise history. He proved himself to be an exceptional all-around player who possessed size, toughness, and playmaking ability, as well as the ability to play both at center and on the wing. He led the Canucks in scoring through the early part of the season, until a fractured jaw forced him to miss 20 games. Nevertheless, he finished with career highs of 16 goals and 35 assists for 51 points in just 60 games. In 1975–76, Oddleifson had his finest NHL season, scoring 16 goals and a club-leading 46 assists for a career-high 62 points. Although his production waned somewhat in the next few seasons, he remained one of the team's top all-around forwards and most popular players. He was named team captain for 1976–77, although he was succeeded by Don Lever the following year. In 1977–78, he recorded a career-high 17 goals for the club. By the 1979–80 season, the emergence of young stars like Thomas Gradin, Stan Smyl and Curt Fraser, as well as the acquisition of several skilled veterans, had pushed Oddleifson into a mainly defensive role, and he finished the season with career lows of just 8 goals and 28 points. Early in the 1980–81 campaign, he was assigned to the Dallas Black Hawks, effectively ending his NHL career. Oddleifson spent two more seasons playing in Switzerland before retiring in 1983. He finished his NHL career with totals 95 goals and 191 assists for 286 points in 524 games, along with 464 penalty minutes. Following his career, Oddleifson returned to Vancouver and became a successful real estate agent. He remains active with the Canuck oldtimers squad.
