Kilimanjaro Stars had the first attempt of the game when striker, Elias Maguli, forced a good save from Libya's keeper, after the former had unleashed a right ftoot shot from inside Libya's box.
Libya replied with a swift attack and Kilimanjaro Stars' keeper, Aishi Manula, had to dive to his right to keep the former's striker at bay.
Kilimanjaro Stars went close on the 20th minute after striker, Mbaraka Yusuph, had whipped in a low cross from the right and Libya goalkeeper parried the effort for a corner kick.
Kilimanjaro Stars had another good opportunity seven minutes later after left fullback, Gadiel Michael, had floated in a pinpoint cross, only to see Maguli fail to tap the ball in.
Libya wasted two good chances on the 39th and 40th minutes after the team's strikers shot over from inside Kilimanjaro Stars' penalty area.
Kilimanjaro Stars' midfielder, Ibrahim Ajib, shot over from close range after he was released by winger Shiza Kichuya two minutes into the second 45 minutes as the team went in search of an opener.
Kilimanjaro Stars piled pressure on Libya a few minutes later and went close on the 55th minute after the former's striker, Mbaraka Yusuph, had dribbled past Libya defender and attempted a left foot shot which was saved by Libya's keeper.
Libya came close to scoring an opener on the 68th minute after Kilimanjaro Stars' keeper Manula had made a good save to keep the former's striker at bay inside the box.
Libya's other striker then pounced on a loose ball, only to see his effort come off Kilimanjaro Stars' left post.
Kilimanjaro Stars' technical bench introduced midfielder, Jonas Mkude, and forwards, Yahya Zayd and Daniel Lyanga, later in the half in an effort to boost the team's pursuit of a win.
The trio had replaced midfielder, Hamisi Abdallah, and forwards, Maguli and Yusuph.
Libya's keeper pushed away a good free kick by Ajib for an abortive corner kick during the closing stages as Kilimanjaro Stars pushed for a win.
The group A also saw hosts Kenya cruise to a 2-0 win over Rwanda in the event's opening match, which took place in the afternoon.