The match was played at the Sheikh Amri Abeid Stadium in Arusha Tanzania and pitted the third and fourth placed sides in the league against each other.
Suleiman Kasim Kasembe and captain Said Sued scored the goals for Union, as they picked up a point on the road.
Harambee Stars midfielder Santo was again a rock in the middle of the park for Union, as they stuck in fourth place with the result, having garnered nine points from five games played.
They have nine points from five games played, with Oljoro on the same number of points but having a better goal average. They both trail leaders Simba SC by four points.