Fijian star Kameli Ratuvou made a two-try return to Saracens to help the Men in Black to a bonus point win that puts them top of their EDF Energy Cup pool.
England's Andy Farrell joined Fijian duo Moses Rauluni and Ratuvou for their first appearances of the season as Alan Gaffney's men made light work of their opponents.
Sarries, making 10 changes from last week's win over Leeds Carnegie, had a 6-0 lead inside 15 minutes thanks to two Gordon Ross penalties, both awarded for Bristol straying offside at the breakdown.
The visitors then enjoyed their only spell of first half pressure which resulted in Saracens' lock Hugh Vyvyan being sin-binned for pulling down a maul on his own line.
Bristol skipper Joe El Abd opted to tap the penalty and was rewarded when hooker David Blaney rumbled over for his first try of the season.
But Ross was on target with the boot once more as Saracens reasserted their early control, and they had their first try on 33 minutes when Samoan prop Cencus Johnston burst down the left wing and into the Bristol 22.
Johnston offloaded to Edd Thrower - a late inclusion at full-back after Richard Haughton was injured in the warm up - who gave Kameli Ratuvou the simple task of diving over the line.
Ross converted and added another penalty three minutes later to stretch the 14-man home side's lead to 14 points.
Jason Strange hit back for Bristol with a penalty just before half-time to reduce the arrears but missed a simple chance at the start of the second half, his third failure of the day.
A break by Tom Arscott on 55 minutes gave Bristol hope of a route back into the game but centre Rob Higgitt knocked on in the next phase of play and Saracens were able to clear.
Richard Hill's side then lost scrum-half Brian O'Riordan to the bin for not rolling away at the tackle and Saracens capitalised on the hour when Vyvyan took a quick tap penalty five metres out and powered through three defenders to score.
Replacement Glen Jackson added the extras and then immediately put Vyvyan through a gap after the restart, who fed Dave Seymour to score under the posts.
Blaney replied with his second shortly after but Ratuvou crossed to secure Saracens a bonus point and replacement Andy Kyriacou added a fifth score to complete the rout.