The Euler equations are a very important model in fluid mechanics, which have been wide used in many areas. Constructing their explicit solutions is a very significant part in mathematical physics. Explicit solutions can provide the concrete examples to understand their nonlinear phenomena and physical implications. This paper is devoted to construct the explicit solutions to compressible Euler equations by using the invariant subspace method. In the sense of variable changes, the invariant conditions yield the invariant subspaces related to compressible Euler equations. On these invariant subspaces, they are reduced to systems of first-order ordinary differential equations. Then some explicit solutions of compressible Euler equations are obtained by solving these systems.