In this talk, I will give an introduction to free probability theory and  explain how this theory is related to random matrices.  Then,  I will introduce operator-valued free probability and operator-valued random matrices(banded random matrices and block random matrices are included). I will show that  large-sized conditionally independent  operator-valued random matrices are asymptotically free with amalgamation. This talk is based on my recent work https://arxiv.org/abs/1806.04848