A three-man Rugby Football Union panel have banned Gloucester lock Hamilton and London Irish hooker David Paice following their brawl during last Saturday's Aviva Premiership game between the clubs.
Paice also landed a seven-week punishment, while Hamilton is out of contention for Scotland's June schedule that includes Test matches against Australia, Fiji and Samoa.
Number eight David Denton and wing Lee Jones will also miss Scotland's summer tour, the Scottish Rugby Union have announced.
Jones has a fractured right shoulder blade, while his Edinburgh team-mate Denton has damage to his left ankle ligaments.
