A liquid dispenser includes: a deformable container confining a fluid-storing space and having an open end defining an opening; an outer sleeve secured to the open end, extending into the fluid-storing space, and having an inner wall formed with a recess; an inner sleeve extending into the outer sleeve, defining an inner space, rotatable about an axis relative to the outer sleeve between first and second angular positions, and formed with a through-hole in fluid communication with the recess when the inner sleeve is disposed at the first angular position and not in fluid communication with the recess when the inner sleeve is disposed at the second angular position; and a brush-mounting seat extending into the inner sleeve.