A trap with two openable side doors to trap animals. The trap includes a top plate, a bottom plate, four side doors, two elongated elements and a delicate sensing means. In the four doors, two or four of them are selectively openable, but only two of them which face each other can be opened at one time. Springs are provided for connecting the top plate and side openable doors. The sensing means comprises a block for hooking the elongated elements and three hooks for hooking baits to entrap animals. Each of the elongated elements is substantially L-shaped with a hooked end. While trapping animals, two openable doors are opened and fixed by inserting the elongated elements into a slot on each opening door and then elongated elements are slightly hooked on the block with the hooked ends. When animals are enclosed in the trap, bite the bait or touch the sensing means, the block will be disturbed. The elongated elements are released and side opening doors move inwards due to springs and are closed by lock means which immediately fall down as the elongated elements are released.