A camera having a detachable lens is provided. More particularly, the camera includes a main body and a lens module configured so that it can be mounted to or detached from the main body according to a rotating state of the lens module with respect to the main body. The camera also includes a first coupling structure that is configured to provide the lens module with coupling when the lens module is set to a mounting position. The camera also includes a secondary coupling structure that is configured to provide the lens module with temporary coupling when the lens module is set to a detaching position. As a result of this structure, an unwanted dropping of the lens module due to an instant loss of supporting force when the lens module is detached from the main body may be prevented.