Yugo Kobayashi scored a late goal in the 88th minute to bring a sigh of relief for the home fans.
William Lalnunfela, who scored a brace for Aizawl against Kingfisher East Bengal, was the notable absentee against Churchill Brothers.
Shylo Malsawmtluanga, the most experienced player in the squad again had to sit out today meaning he will have to wait longer to make his debut for Aizawl FC in I-League.
Churchill coach Shevchenko made three changes to his playing XI that faced Mohun Bagan in their previous match.
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The home side did not waste time in carving out their first chance of the match.
Centre back Saighani perfectly weighted a through ball which was chased down by Mka to deliver a perfect cross for Ivorian forward Dodoz, but the forward who have played for Aizawl's rival Chanmari FC earlier could not convert the golden chance.
His header was parried away by Churchill goalkeeper Kithan.
Japanese forward Kobayashi's shot from inside the box was blocked by centre-back Osagie Monday a few seconds later.
After the hour-mark, the home side upped the tempo and created several good chances but Kobayashi failed to convert the opportunities that fell on his path.
Just when Churchill thought they deserved a point from the game Kobayashi scored the only goal of the game in the 88th minute.
Having calmly tucked in Dodoz's pass, the shrewd forward slotted the solitary goal of the match.
Aizawl with four points from two games now move up to the fifth spot on the table but Churchill's nightmare continues as the Red Machines continue to totter at the bottom of the table.
Aizawl will play their next home game against Shillong Lajong two days later.