A safety scalpel that incorporates a reusable metal scalpel handle similar in shape and feel to the conventional metal handle preferred by most surgeons, and a disposable blade cartridge that covers the blade before, during and after use, and is easily mounted and released from the scalpel handle. The blade cartridge includes a blade with similar cutting profiles as standard surgical blades, a blade holder that is permanently fixed to the blade, and a blade guard that covers the blade and within which the blade holder is able to slide. The scalpel handle is reusable, while the blade cartridge is disposable. The blade cartridge is attached to and detached from the scalpel handle in a direction generally perpendicular the longitudinal axis of the scalpel handle.