Late in the game a succession of crosses into the danger zone just needed a touch and all the points would have been going back to Kent.
The first half saw the Rebels have the majority of possession with the Angels looking nervous and unable to really get their passing game going.
The visitors’ defence was well marshalled by Sonny Miles and offered Slough few genuine chances. In the 23rd minute a cross from the left set up Warren Harris for the home side but he could not convert.
Tonbridge came into the game more after half-time with the central midfield pairing of D’Sean Theobalds and Christ Tiehi exerting more influence.
They were getting the ball out to wide players Jarrod Small and Joe Turner, giving the Slough defence much more to think about as the Angels were able to get behind the rearguard.
Slough enjoyed a few moments at the other end with keeper Jonny Henly making a couple of vital saves at his near post, but the Rebels did not look as cohesive as they did in the first period.
In the closing stages both teams went for the win and low crosses from Ben Greenhalgh, Theobalds and Small could have led to a winner for Tonbridge.
Manager Steve McKimm said: “I don’t think many teams come here and keep a clean sheet. It was a game of two halves from our perspective and I’m very pleased to come away with a point.”
The Angels are at home to Billericay on Saturday (December 7, kick-off 3pm).