Without a victory since their opening-round triumph over Perth Glory and with pressure mounting on coach Josep Gombau, the Reds were highly impressive in seeing off their bogey side for the first time since 2009.
Spaniard Sergio Cirio set up Bruce Djite in the 25th minute and Fabio Ferreira in the 40th to put the hosts in the ascendancy, before netting himself early in the second half.
Jeronimo Neumann added the icing to the cake in the dying moments.
Elsewhere on Saturday, the Wellington Phoenix suffered their fifth loss of the season, going down 2-1 at home to the league-leading Brisbane Roar.
Roar captain Matt Smith opened the scoring in the 37th minute when he scrambled a loose ball past Glen Moss, and, although Carlos Hernandez levelled from the penalty spot early in the second half, Ivan Franjic then netted a spectacular winner from the edge of the box.
Former Jet Mark Bridge returned to haunt his old side with a timely header as second-placed Western Sydney Wanderers secured a tense 1-0 win over Newcastle Jets at Hunter Stadium.
Bridge, who etched himself in Newcastle folklore by scoring the winning goal in the Jets' championship winning 2007/08 season, scored in the 33rd minute of a gripping encounter with an assist by fellow former Jet Labinot Haliti.