We examine the generalized methods of summability of Fourier series of functions belonging to Morrey spaces $L^{p,\lambda}$, $0<\lambda \leq 2$, $1<p<\infty $. In this study, the approximation of functions by matrix means in terms of the continuity modulus in Morrey spaces $L^{p,\lambda}$, $0<\lambda \leq 2$, $1<p<\infty$, is investigated.