The win is Wellington's second in a row as they put further distance between themselves and the bottom of the table Melbourne Heart.
Melbourne Heart actually started the match well with David Williams having dangerous chances in those early stages, while Wellington also had chances every now and again.
But after that good opening work from the Heart, Wellington well and truly took charge but their poor finishing too often cost them.
Early on Jeremy Brockie could have opened the scoring, but such has been his season, he sent his effort well wide, despite being one-on-one with the keeper.
Carlos Hernandez was an almost constant threat to the Melbourne Heart defense but just could not find the back of the net, going closest when he hit the post.
Melbourne Heart wrestled back control and they had the best chance of the half as Jason Hoffman sent a ball down the right to send Michael Mifsud on a run, allowing him to square for Williams who absolutely butchered the chance, passing it out of play, when he had a simple tap-in to score.
Wellington Phoenix struggled after that chance, with Heart able to generate more chances as Aziz Behich was encouraged to run forward from his defensive position and attack.
Despite those chances Melbourne Heart couldn't find a goal as the half ended scoreless, forcing both, desperate, teams to open up more in the second half.
With Melbourne Heart pressing forward, Wellington were looking increasingly dangerous, and with every miss from Heart they looked more and more like suffering a devastating result.
Jeremy Brockie kept warning Heart what could happen and in the 75th minute those warnings proved true as Wellington hit the lead.
Tyler Boyd was able to get around Behich and send a low cross in for Stein Huysegems who was able to easily tap home, giving Wellington a vital lead.
With the threats of his sacking growing louder, John Aloisi needed a goal and so brought on Golgol Mebrahtu in a last ditch attempt to find a goal.
The goal never came and with chants of "Aloisi out" the match ended with Melbourne Heart now well and truly off the pace in last.