I will review the connection between matrix integrals and the problem of enumerating certain graphs. I will first show how the ‘high temperature regime’ of Gaussian matrix integrals (joint work with E. Maurel-Segala) and Unitary matrix integrals (joint work with B. Collins and E. Maurel Segala) can be seen as generating function for the enumeration of certain maps. I will then consider the ‘low temperature regime’ (with E. Maurel Segala and A. Dembo).