Bayi Kamo's (65th and 78th minute) two goals in the second half were enough to clinch three points for the hosts who continued with their unbeaten streak at home.
Aizawl were right on target early on and Kattimani had to block a potential goal by Danmawia who received a volley from Rane just a couple of minutes into the match.
Alfred Jaryan nearly gave Aizawl the lead when he sent a left-footer towards the goal from close range but the ball sailed over the crossbar.
Towards the end of the first half, Alfred Jaryan took a free kick from 35 yards. Kattamini failed to secure the ball in his first touch but managed to hold onto the ball just moments before Aizawl FC forwards intervened.
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The first half did not see any goal although Aizawl FC forwards troubled Mumbai FC defence several times.
Less than 10 minutes into the second half, Aizawl defender Kingsley's shot shook the woodwork. Kingsley had received a well-timed pass from Kamo.
Aizawl doubled their lead in the 78th minute. Al Amna's pass from outside the box was easily converted by Kamo to increase his goal tally to four this season.
After this win today, Aizawl are now at second spot behind East Bengal with 26 points from 12 matches.
Aizawl coach Khalid Jamil praised the performance of his boys.
Mumbai coach Santosh Kashyap admitted that "the deserving team won".
"We did not have enough time to have practice because of the festival yesterday which slowed down the traffic on our way to the ground," he said.
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