Malanding Bojang scored the game’s only goal for QPR in the 8th minute of the game.
However, United Stars created some goal-scoring chances but could not convert any of them including two encounters from Babucarr Kujabie.
Meanwhile, Queen Park Rangers now collected four points in two matches, while United Stars collected three points after humiliating Old Hands 4-0 in their opening game.
Arsenal United were held by Solidarity United.
The Gunners now collected four points after beating Nema United 2-0 in their opening game, while Solidarity United registered two points after drawing two of their games against Y.B.S. and Arsenal United.
Nema United also shared the spoils with Estate United following a one all draw.
Nema United collected a single point after being defeated 2-0 by Arsenal United in their opening game, while Estate United earned their second point of the nawetan after playing a two all draw against QPR in their opening game.
In the weekend fixtures
Jah Guide United will battle it out with Manchester United on Friday, before Bilbao United entertain Sanchaba United on Saturday. Young Black Scorpions will play against Arsenal United.