A bit for removing damaged screws includes: a shaft portion and a head portion connected to the shaft portion. The head portion includes a tip section, a threaded conical section, and scraping portions extending continuously from the tip section to the threaded conical section. The scraping portions are able to perform continuous and non-stopping scraping operation toward the damaged screw. The scraping portions on the threaded conical section can scrape out a space big enough to allow passage of the threaded conical section, thus reducing resistance when the threaded conical section performs scraping and cutting operation. The threaded conical section can be guided to bite into and unscrew out the damaged screw, right after the scraping operation is performed by the tip section, so that the scraping and unscrewing operation can be performed more smoothly.