A luggage catch has a catch part having an edge, a tongue pivotally mounted on the catch part, extending downward past the edge thereof, and having a pair of oppositely outwardly directed sides, and a strike part having an edge and formed with a seat opening at the strike-part edge and having a pair of oppositely inwardly directed sides generally complementary to and fittable with the sides of the tongue below the catch-part edge in a closed position of the catch with the edges engaging each other. Retaining formations in the strike part and on the tongue engage each other in the closed position of the catch for holding the tongue in place in the seat. The tongue extends a relatively great distance from the catch part so that, even when it has a middle region at the catch-part edge and an outer end outward of the catch-part edge and tapers from the middle region to the outer end and the seat tapers generally complementarily away from the strike-part edge, it is possible for the lateral engagement of the tongue sides with the seat sides to correct a relatively gross misalignment of the two parts.