In a match marred by heavy rainfall, both sides squandered numerous goal scoring opportunities and as result, shared the spoils.
Uganda captain Dennis Onyango was called into action early in the first half and emphatically denied Mbwanna Samatta in a one-on-one situation.
Moses Waiswa twice played Joseph Ochaya through on goal but the attacker wasted both chances as the sides headed to the interval deadlocked.
Emmanuel Amunike, who was overseeing his first match as Taifa Stars coach, would feel hard done by the referees decision soon after the restart as Emmanuel Ulimwengu had the ball in the back of the net in the 69th minute, but, instead of playing the advantage, the middleman blew for a freekick to Tanzania near the edge of the box.
Ochaya had a couple of more chances in the second half to spare his earlier blushed but Aishi Salum in the visitor's goals was not to be breached on the day.
With this result, Sebastien Desabre's men remain on top of Group L with four-points from two matches, while Tanzania are second with two points.