The multiplier ideal is an important tool in birational geometry. The purpose of this talk is to compute the multiplier ideals of complete intersection binomial ideals. J. Howald has given an combinatorial description of the multiplier ideals of monomial ideals. We give an combinatorial description of the multiplier ideals of complete intersection binomial ideals in a similar manner. Furthermore, we prove that there exists infinitely many prime numbers p such that the reduction modulo p of the multiplier ideal coincides with the test ideal for any exponent in this case.