The cup tie against an Isthmian League Premier Division side felt like a potential banana skin and Bognor, showing good movement, carving out three good chances in the first period.
The Angels were also a threat, mainly through their wide play which produced a series of crosses that went to waste.
A clever pass from James Folkes put in Joe Turner but he could not convert, and Folkes then crossed to the near post to set up Tom Derry and Turner again but neither could take advantage.
Turner made full amends on the 44th minute, however, running onto a delightful cross from Jared Small to put the Angels one up just before half-time, slightly against the run of play.
The hosts then produced a blistering 25 minutes of attacking play after the break during which time they doubled their advantage.
A fine run by Jack Parter in the 60th minute forced Amadou Tangara in the Bognor goal to make a great save but two minutes later Tom Derry smashed home Small’s cross.
Further home chances fell to Christ Tiehi, Turner and Derry but they weren’t able to kill the game off as the number of Bognor attacks increased at the other end.
Then the Rocks were awarded a penalty in the 83rd minute for holding, which was duly converted by James Crane, but it proved to be only a consolation.
Angels coach Tom Parkinson said: “It wasn’t always the greatest performance but in cup football it’s all about getting through to the next round and getting that prize money.”
Tonbridge now return to action in National League South at Slough on Saturday (November 30, kick-off 3pm). The rearranged game at Hungerford will take place the following Tuesday (December 3, kick-off 7.45pm) after the fixture was called off because of a waterlogged pitch.
