A fly catcher combination includes a frame having an opening formed by a peripheral fence, an attachment attached to the frame for attaching to a supporting facility, and a receptacle engaged in the opening of the frame and supported on the frame, and the receptacle includes a housing having a chamber, and a cover engaged with the housing, and the cover includes a compartment formed in the cover and communicating with the chamber of the housing, and the cover includes one or more slots communicating with the compartment of the cover for allowing the flies or the mosquitos to fly into the compartment of the cover, but prevent the flies or the mosquitos from flying out of the receptacle.