It was unclear what secrets were revealed when they were serving as consultants, but officials said they used classified material given to them by the Navy, CBS News reported Thursday.
CBS said the team members, all on active duty, also violated the unwritten code that SEALs avoid the spotlight.
Four other SEAL Team Six members who have transferred out of the unit since the raid also are under investigation, officials said.
The video game, produced by Electronic Arts, doesn't recreate the bin Laden raid, but it does simulate realistic missions, CBS News said.
The seven SEALs punished so far all received letters of reprimand and had their pay cut in half for two months, the report said.
SEAL Team Six will be featured in two movies -- one about the rescue of the captain of a ship kidnapped by Somali pirates, the other about the bin Laden raid.