Tissue compression devices with a combination of fixation and tension straps and methods of using the same are described herein. The tissue compression devices include a combination of fixation and tension straps that are used together to fix or attach the tissue compression device over selected tissue at a selected location on a patient and to apply pressure to the selected tissue. In one or more embodiments, the fixation straps are used to fix or attach the tissue compression device and the tension straps are used to provide tension that is converted to pressure on the selected tissue.