A Kurtis Byrne goal 15 minutes from time was enough to send Dundalk into the second round of the EA Sports Cup
The game itself never really got going and both sides lost possession quite easily. Dundalk, however, had a couple of chances and forced young Shelbourne keeper Niall Burdon into a string of fine saves.
The Shels number one made two impressive saves from Richie Towell in as many minutes midway through the first half as Dundalk began to gain control of the tie.
Tiarnan Mulvenna had a goal ruled out for offside before Burdon again made a fine double save to deny Mulvenna. Just before the interval, Mark Leech then nearly lobbed Peter Cherrie in what was Shelbourne's only real chance of the half.
Substitute Kurtis Byrne found the net for the home side on 76 minutes, squeezing the ball in after a fine cross from John Dillon. Minutes later, Byrne looked like he had scored again, but saw the ball twice cleared off the line.
The visitors nearly equalised with two minutes left when a fine Adam Hanlon effort rattled the Dundalk post. However, the hosts ran out one-goal winners with Towell particularly impressive.