He joined the National Lacrosse League franchise after spending 14 years with the CFL's Edmonton Eskimos. Jamieson, an Edmonton native, most recently served as the Eskimos' vice-president of communications and broadcast.
"We took a great deal of time selecting the right person to fill the role of team president and I could not be more proud to have found that person in Dave," team owner Bruce Urban said in a release.
"Dave’s commitment to the sports community of Edmonton has been long and noteworthy and we expect this to be a great next chapter in that history."
Jamieson succeeds Gord Sawyer, who left the team last July.
Earlier in the week, the Rush selected Mark Matthews with the No. 1 overall pick in the 2012 NLL Entry Draft. The NLL regular season begins in January.