Following a junior career in Saskatchewan, Meissner signed a free-agent contract with the expansion North Stars in the summer of 1967. He played in one game with the team that year, picking up a minor penalty. He spent the rest of the season with the affiliate Memphis South Stars of the CPHL where he had 15 goals and 39 points in 64 games.

Meissner's best year as a pro came in 1968-69 when he scored 27 goals and 53 points for the South Stars in 67 games. He was also called up to Minnesota for five games where he recorded one assist. His final NHL totals were six games played with one assist.

Despite not returning to the NHL, Meissner continued to play professional hockey for another five years. In 1969-70 he suited up for the Iowa Stars of the CHL before moving on to the Cleveland Barons of the AHL the next year. In 1971-72 he divided his time between the Seattle Totems of the WHL, the Omaha Knights of the CHL and the Barons. Meissner played his final pro season in 1972-73 with the Cleveland Barons, who moved to Jacksonville during the year. In 68 games he collected 20 goals and 45 points.

Meissner's older brother Dick played for the Boston Bruins and the New York Rangers in the 1960s. He is also the uncle of Landon Wilson and in-law of Rick Wilson, both of whom also have played in the NHL.