Shelbourne went into the Dublin Derby still awaiting their first point of the campaign, while Trevor Crolly's side were looking for a win that would see them overtake Dundalk in second and extend their unbeaten run to seven games in all competitions. However neither side could break the deadlock, seeing both sides come away with a point.
Shels made a lively start to the match. In the opening minutes, Rovers 'keeper Barry Murphy miscontrolled a sloppy backpass from Ken Oman but did well to recover at the feet of Dean Kelly to prevent the home side taking the lead.
Alan Matthews' side began to create more chances early in the first-half. Kelly was unlucky not to open the scoring his header from Adam Hanlon's cross sailed just over the bar, before Sean Brennan's off-target effort from outside the area had Murphy scrambling across his goal.
Rovers started to come into the game late in the first-half. Hoops midfielder Ronan Finn began to pull the strings in the middle of the park and a few half chances fell the way of the visitors.
Another short backpass from Ken Oman early in the second half allowed Adam Hanlon to close down Barry Murphy's clearance. The ball fell to the feet of Philly Hughes just inside the box, who blasted over an empty net.
Rovers began to pile on the pressure late in the second half but Niall Burdon came to the home side's rescue. The Shels keeper made a fantastic double save, both coming after close range efforts from Karl Sheppard.
The draw sees Shelbourne earn their first point of the campaign, while Shamrock Rovers have failed to score in three of their opening four games.