A spatial crossed-axis transmission mechanism includes a rotatable driving member, an actuating member, and a support member for fixing the driving member and the actuating member. The driving member comprises a first end surface adjacent to the support member, and an Archimedes spiral groove is defined in the first end surface of the driving member. The actuating member includes an end surf adjacent to the support member and a sliding shaft on the end surface of the actuating member. The support member defines a straight groove passing therethrough, and the sliding shaft comprises an end that extends through the straight groove and fits into the Archimedes spiral groove.