A second half strike by Lee Vaughan was enough to give Rovers three points after a long trip down to Bromley.
Gary Brabin made just one change to the side which started the last game, the 4-3 win over Barrow, with James Norwood returning up front in place of Ben Tomlinson.
Tranmere dominated the early proceedings with Jay Harris forcing Bromley goalkeeper Alan Julian into a smart save with a spectacular volley from 30 yards.
Harris later had a couple of shots from the edge of the area which were blocked en route to goal while James Norwood had a header well saved by Julian on 29 minutes.
Moses Emmanuel had a couple of chances at the other end with his first being dragged wide before he forced Scott Davies into an excellent save.
Rovers pressed again in the latter stages of the first half but despite a lot of pressure on the Bromley goal, it remained goalless at the break.
The visitors started the second half on the front foot and a couple of crosses flew across the face of goal without any luck.
Lois Maynard forced Julian into a good save before Rovers took the lead on 55 minutes as Adam Mekki did well and played in Lee Vaughan and the full back fired home from 10 yards across the face of goal.
Tranmere had a couple of half chances before Bromley substitute Alex Wall hit a powerful 30-yard free kick which was well saved by Davies.
With four minutes remaining, Gary Taylor-Fletcher was introduced into the action in place of Mekki.
Rovers saw out the final minutes of the game to take another three points.
Bromley: Julian, Swaine, Holland (Coombes 68), Goldberg (Wall 68), Cunnington, Rodgers, Anderson, Minshull, Emmanuel, Francis (Fuseini 88), Chorley. Substitutes: Udoji, Prestedge.
Tranmere: Davies, Vaughan, McNulty, Ihiekwe, Hill, Maynard, Jennings, Harris, Norwood, Mekki (Taylor-Fletcher 86), Hughes. Substitutes: Turner, Kirby, Stockton, Sutton.
Referee: Mark Pottage
Yellow cards: Maynard (10), Hughes (21), Francis (27), Chorley (74), Harris (83), Norwood (90+3)
Goals: Vaughan (55)
Attendance: 2218 (401)