Winger Clinton Schifcoske's third successful penalty put Ulster in front early in the second half before second row Dan Tuohy got the Ravenhill crowd on its feet with a breakaway try in his first appearance for his province.
That score was converted by Schifcoske and Ireland-capped centre Darren Cave added the hosts' second touchdown in the far corner.
Tickets for that match are available by clicking here and gates will open at 6pm.
ULSTER: Bryn Cunningham; Clinton Schifcoske, Darren Cave, Ian Whitten, Simon Danielli; Ian Humphreys, Isaac Boss (capt); Bryan Young, Andy Kyriacou, BJ Botha, Dan Tuohy, Ryan Caldwell, Chris Henry, Willie Faloon, Robbie Diack.
Replacements: Nigel Brady, Declan Fitzpatrick, Neil McComb, TJ Anderson, Paul Marshall, Niall O'Connor, Nevin Spence, Timoci Nagusa.