The present invention provides a composition that has an excellent hardness adjustment action, can be used as a solidifying agent for various cosmetics, and when added to cosmetics, can impart those cosmetics with excellent shape retention properties, an oil oozing suppression effect during use, a favorable texture and good storage stability, and also provides an oily solid cosmetic to which the composition has been added. Specifically, the invention provides a solid wax composition containing a component (A): candelilla wax, and a component (B): a monoester having a total of 40 to 48 carbon atoms, wherein the mass ratio between the component (A) and the component (B) in the solid wax composition satisfies component (A) : component (B) = 45:55 to 95:5, and the monoester is a monoester of a monovalent fatty acid and a monohydric alcohol.
