We prove the exact controllability by boundary action of hyperbolic interface problems with singularities. The two proposed methods consist of acting by a classical boundary control whose support does not contain a neighborhood of the singular points and adding internal controls located near these singular points. (See [M.-T. Niane and O. Seck, C. R. Acad. Sci. Paris Ser. I, 318 (1994), pp. 945-948; A. Heibig and M. Moussaoui, Disc. Cent. Dynam. Syst., 2 (1996), pp. 367-386; M.-T. Niane and O. Seek, C. R. Acad. Sci. Paris Ser. I, 316 (1993), pp. 695-700], where such a method was introduced.).