PROBLEM TO BE SOLVED: To actualize more-efficient and lower-cost installation work for a large-cross-section shaft cover by using a unique vehicle instead of a large crane for easily suspending the cover to be put over a ground opening of a large-cross-section shaft for safety to allow fixing work.SOLUTION: In a method for constructing a cover 10 over a ground opening 1 of the large-cross-section shaft, approximately sector shaped cover split members 11 are put on the periphery of the ground opening and sequentially arranged side by side in the peripheral direction to cover the ground opening 1 with the approximately sector shaped cover split members 11 arranged side by side in the peripheral direction. Then, the approximately sector shaped cover split members 11 put on the periphery of the ground opening 1 and sequentially arranged side by side in the peripheral direction are sequentially fixed to one another. Specifically, the approximately sector shaped cover split members 11 are hooked on hooks 4 provided