In a game dominated by goal kicking, out-half Paddy Jackson proved his worth with a 14 points contribution but it was scrum half Ruan Pienaar who provided the tactical know-how behind a dominant Ulster pack.
Glasgow centre Peter Horne got his side off the mark entering the second quarter but Jackson cancelled it out with his first accurate kick of the match.
With half time approaching Ulster created their best scoring chance with a kick by Pienaar into Glasgow’s 22m area, and only frantic scramble defence from the Warriors prevented a try from the visitors leaving Ulster going into the break with a slender three point lead.
Glasgow then suffered a blow when Horne was forced off by injury and the pressure from the visitors increased with a series of pick and drive moves.
Glasgow were again under the cosh when their Scotland full-back Stuart Hogg was bundled into touch close the Warrior’s line. But from the ensuing line-out Ulster again failed to breach a dogged home defence.
Ulster had another chance for points when Pienaar lined up a kick five metres inside this own half but this time the ball did not have have the range. It signalled a change of tactic for Ulster who at their next penalty award, kicked the ball to the corner.
The ploy had an immediate result, as the Ulster forwards powered their diesel engine to maximum torque for an unstoppable try credited to Chris Henry. Albeit it required confirmation from the TMO. Jackson added the conversion and suddenly the balance of the game had changed.
Glasgow’s problems continued when the Warriors scrum was penalised allowing Jackson to kick his fourth goal of the match putting the visitors unto a seemingly unassailable 16-3 lead.
In response or perhaps desperation Glasgow began to throw the ball about but entertaining though it was it brought little in the way of a threat to the Ulster defence. But it was Ulster who claimed further points with a fourth penalty goal from Jackson.
Glasgow did save themselves from embarrassment with a try right on full time by replacement Nikola Matawalu from a clever cross kick by fellow replacement Scott Wight but it proved to be only a crowd pleasing token score that could not prevent Ulster taking the honours.
GLASGOW SCORERS: Tries: Matawalu. Pens: Horne.
GLASGOW: Hogg, McGuigan, Murchie, Horne, Dunbar, Jackson, Pyrgos, Grant, Hall, Cusack, Ryder, Kellock, Strauss, Fusaro, Wilson.
Replacements: Matawalu for McGuigan (33), Wight for Horne (45), Gillies for Hall (75), Fainga’anuku for Cusack (78), Swinson for Ryder (78), Barclay for Strauss (50).
ULSTER SCORERS: Tries: Henry. Cons: Jackson. Pens: Jackson 4.
ULSTER: Payne, Bowe, Cave, Wallace, Trimble, Jackson, Pienaar, Court, Best, Afoa, Muller, Tuohy, Henderson, Henry, Williams.
Replacements: L. Marshall for Cave (78), Gilroy for Trimble (79), P. Marshall for Jackson (78), Black for Afoa (75), Stevenson for Tuohy (68), McComish for Henderson (78).
Referee: Mathieu Raynal (France)