Northampton secured their first Premiership win of the season
Tries from George North, Louis Picamoles and Ken Pisi gave Saints a 25-3 lead at the break
Replacement hooker Mike Haywood crossed late on as they secured a bonus-point victory.
Northampton bounced back from last week’s loss as they picked up a 32-10 bonus-point victory against Bristol at Ashton Gate on Sunday.
Fly-half Stephen Myler, also making his first start this campaign, scored 10 points in an assured performance, with his out-of-hand kicking pinning the hosts back.
Bristol, playing at their fully renovated 27,000-capacity home for the first time, were marginally beaten by Quins in the London Double Header last Saturday but looked out of sorts for much of the first half.
George North, Louis Picamoles and Ken Pisi scored before the break for Saints, giving them a convincing 25-3 lead.
Rob McMillan’s score gave Bristol hope at the start of the second half, but they rarely tested the try line.
Replacement Northampton hooker Mike Haywood then crossed late on as they secured a bonus-point victory.
Bristol: 15 Jack Wallace, 14 Ryan Edwards, 13 Will Hurrell, 12 Ben Mosses, 11 Tom Varndell, 10 Tusi Pisi, 9 Will Cliff, 8 Jordan Crane, 7 Jack Lam (c), 6 Jon Fisher, 5 Ben Glynn, 4 Ian Evans, 3 Gaston Cortes, 2 Ross McMillan, 1 Soane Tonga’uiha
Replacements: 16 Chris Brooker, 17 Kyle Traynor, 18 Anthony Perenise, 19 James Phillips, 20 Olly Robinson, 21 Mitch Eadie, 22 Rhodri Williams, 23 Adrian Jarvis
Northampton: 15 Ahsee Tuala, 14 Ken Pisi, 13 George Pisi, 12 Luther Burrell, 11 George North, 10 Stephen Myler, 9 Lee Dickson, 8 Louis Picamoles, 7 Teimana Harrison, 6 Tom Wood (c), 5 Michael Paterson, 4 Courtney Lawes, 3 Kieran Brookes, 2 Dylan Hartley, 1 Alex Waller
Replacements: 16 Mikey Haywood, 17 Campese Ma’afu, 18 Paul Hill, 19 Sam Dickinson, 20 Jamie Gibson, 21 Nic Groom, 22 Harry Mallinder, 23 Ben Foden