Leicester withstood a second-half fightback from Bristol to secure a 21-16 victory on Friday night.
Billy Searle scored two penalties in the first half, but a penalty from Freddie Burns and an Adam Thompstone try handed Leicester a 6-11 lead at half time.
An Ellis Genge try bolstered by another Burns penalty extended the visitor's lead in the second half. Rob Hawkins and Adrian Jarvis did their best to get Bristol back in the game with a try and a penalty respectively but they couldn't manage to overturn Leicester's lead.
The last time Bristol won a Premiership match at Ashton Gate was a 30-13 win over the Tigers in April 2007. Bristol were held up early and awarded a penalty in the process, Searle stepped up to give the home side an early lead.
Leicester quickly settled the ship though with two penalties from Burns putting the visitors 3-6 in front. Searle levelled the scores from the kicking tee, but minutes later Ian Evans saw yellow and the Tigers quickly capitalised with Thompstone going over for the games first try. Burns fluffed his lines with the conversion to leave the scores at 11-6 going into half time.
Leicester were out of the blocks quickest in the second half as Genge went over for the Tigers' second try of the evening. Burns dissected the posts with the conversion to put the visitors 18-6 in front.
Graham Kitchener was taken out in an aerial challenge with Jason Woodward, and just moments after Evans' return Bristol found themselves back down to 14 with Woodward taking a trip to the bin. Burns extended Leicester's lead to 21-6 after the home side were pinged at the scrum.
Lachlan McCaffrey was shown the games third yellow card and this time it was Bristol who benefited from the extra numbers as Hawkins went over the whitewash for the home team's first try. Jarvis scored the conversion to get Bristol right back in the game at 21-13 with a quarter of an hour to play. Jarvis got Bristol to within five with a late penalty but it was too little too late.
Pens: Searle 2, Jarvis
Tries: Thompstone, Genge
Pens: Burns 3
Bristol: 15 Jordan Williams 14 Ryan Edwards, 13 Jason Woodward, 12 Will Hurrell, 11 Jack Tovey 10 Billy Searle, 9 Rhodri Williams, 8 Jordan Crane (c), 7 Olly Robinson, 6 Mitch Eadie, 5 Mark Sorenson, 4 Ian Evans, 3 Gaston Cortes, 2 Marc Jones, 1 Kyle Traynor
Replacements: 16 Rob Hawkins, 17 Ryan Bevington, 18 Jamal Ford-Robinson, 19 James Phillips, 20 Jon Fisher, 21 Will Cliff, 22 Adrian Jarvis, 23 Jack Wallace
Leicester Tigers: 15 George Worth, 14 Adam Thompstone, 13 Peter Betham, 12 Owen Williams, 11 Tom Brady, 10 Freddie Burns, 9 Sam Harrison 8 Luke Hamilton, 7 Will Evans, 6 Mike Fitzgerald, 5 Graham Kitchener, 4 Ed Slater, 3 Greg Bateman, 2 Tom Youngs (c), 1 Ellis Genge
Replacements: 16 Harry Thacker, 17 Riccardo Brugnara, 18 Pat Cilliers, 19 Harry Wells, 20 Lachlan McCaffrey, 21 Jono Kitto, 22 Manu Tuilagi, 23 Jack Roberts
Referee: Tim Wigglesworth
Assistant Referees: Gareth Copsey, Peter Allan
TMO: Sean Davey