A Rhys Oates brace either side of a fine Luke Armstrong finish saw Pools surge into an early 3-0 lead before Bromley pulled a goal back early in the second half through James Alabi.
A long throw in from Chris Bush deflected in off Byron Webster deep into stoppage time to make it 3-2 but Pools were able to hold out for the final 30 seconds to set up a date with Stockport County in the play-off semi-finals at Edgely Park next Sunday (12pm kick-off).
Here are the Pools player ratings from the match…
5. David Ferguson - 8
Got forward relentlessly in the first half and had a good effort well blocked. Photo: Mark Fletcher
6. Nicky Featherstone - 9
That ball for the opening goal. Stupendous! Did it again to release Oates moments later for the second. Crucial in Pools’ early dominance. Photo: Mark Fletcher
7. Mark Shelton - 8
Played an important role in the middle of the park. Pressing well and linking the midfield and attack. Photo: FRANK REID 2020
8. Gavan Holohan - 8
Played a key role in a number of promising Pools attacks over the course of the afternoon. A menace in and around the penalty area. Photo: Mark Fletcher