Glen Burdon, like most other premier players from the mid 1970s, was selected in both the NHL and WHA drafts. He was taken by the Kansas City Scouts in round two of the NHL Amateur Draft, 20th overall in 1974. He was also a second-round pick of the WHA's Edmonton Oilers, 23rd overall.
Leading up to his draft year, Burdon played three years with the Regina Pats of the WCHL. During his rookie season, he suited up for 60 games, scoring 17 goals and 53 points. During his second season, injuries limited him to just 46 games, and a decline in production to 41 points. However, for his final season, Burdon came back strong, playing the full 68-game schedule, scoring 19 goals and 75 points. The club won the Western Hockey League title and advanced to the Memorial Cup championship round-robin tournament against the OHA champion St. Catharines Blackhawks and the QMJHL champion Quebec Remparts. The Pats advanced to the championship game where they defeated the Remparts 7-4. Among Burdon's teammates on that championship winning team included; Clark Gillies, Dennis Sobchuk, Greg Joly and Ed Staniowski in goal.
The following year Burdon joined the Baltimore Clippers of the AHL for five games before heading to the Providence Reds for 25 games. The 1974-75 campaign was also the year Burdon played his entire eleven games in the NHL, as a member of the Kansas City Scouts, where he managed to score two assists.
Burdon continued to play pro hockey for several years in the AHL and CHL before retiring after the 1978-79 season as a member of the IHL's Fort Wayne Komets. He also has the dubious distinction of having been placed on several media publications list of NHL Busts.