Gareth Taylor's team were 5-0 up at half-time following a brace from Hayley Raso, while England winger Lauren Hemp scored either side of the break.
Returning to her former club, Hemp was assisted on both occasions by Khadija Shaw, who also got on the scoresheet.
Match Stats: (Bristol-ManCity)
Possession: 40%-60%
Shots: 0-23
Shots on Target: 0-14
Corners: 1-3
Fouls: 5-7