A trap for retaining a live animal includes a housing, a spring-biased loop retainer movable into and out of the housing and a latch having an arcuate section. A trigger is disposed to engage an aperture in the latch wherein the trigger is positioned to extend into and out of the housing such that the arcuate section of the latch engages the spring-biased loop retainer to move the loop retainer into the housing. A method of setting a trap for catching a live animal comprises moving a restraining segment of an animal leg retainer into a housing by engaging an arcuate section of a latch against the retainer. The arcuate section is engaged by applying a downward force to the latch to cause the restraining segment to be positioned in a set position for engaging the animal leg.