A snare system includes a trap body including an aperture, a trigger plate assembly disposed within the trap body such that the trigger plate assembly is accessible through the aperture, a snare assembly placeable about the trap body, and at least one snare release assembly operatively linked with the trap body. The trigger plate assembly is movable between an armed position and an activated position. The snare release assembly normally biases the trigger plate assembly into the armed position. Furthermore, the snare release assembly disengages the snare assembly from the trap body when the trigger plate assembly moves from the armed position to the activated position. Upon disengagement from the trap body, the snare assembly moves to capture an animals limb.