The encounter, part of match week 15, was anticipated as a crucial fixture that could have strengthened the league positions of either team.
However, both sides struggled to break the deadlock in a tightly contested game.
The first half saw even possession, with both teams maintaining tactical discipline and limiting clear chances.
Kotoko's Steve Mukwala came close to scoring in the 33rd minute, but the visitors' defence managed to clear the threat. A subsequent powerful header from Mukwala was saved by Olympics' goalkeeper Benjamin Asare.
Despite both teams making tactical substitutions, the pattern of play remained unchanged.
In the final minutes, with chances created at both ends, Richmond Lamptey had an opportunity to secure victory for Kotoko but narrowly missed the target.
After six minutes of stoppage time, the match ended in a goalless draw, leaving both teams with a point each.
The result halted Asante Kotoko's winning streak and showcased the competitive nature of the Ghana Premier League.