Striker Walid El Karti and Ayoud El Kaabi spurned some decent scoring chances for the Atlas Lions in both halves of the game.
Rwanda's only effort at goal came when play maker Muhadjiri Hakizimana’s long range effort was tipped over by the agile Moroccan goalkeeper Anas Zniti.
The Atlas Lions, who won their opening match 1-0 against Togo, are still leading Group C of the 2020 CHAN, with four points.
Rwanda comes second with two points, Uganda third with only one point, and Togo last with zero.
Uganda and Togo are yet to play their second game of the tournament later this evening. If Uganda wins, it will tie with Morocco in pole position.