In the present paper, we nd the conditions to characterize projective change between two (${alpha}$, ${eta}$)-metrics, such as Matsumoto metric $L=frac{{alpha}^2}{{alpha}-{eta}}$ and Randers metric $ar{L}=ar{alpha}+ar{eta}$ on a manifold with dim $n$ > 2, where ${alpha}$ and $ar{alpha}$ are two Riemannian metrics, ${eta}$ and $ar{eta}$ are two non-zero 1-formas.