  We prove a local law for eigenvalues of the random Hermitian matrices with
external source $W_n=\frac{1}{n}X_n+A_n$ where $X_n$ is Wigner matrix and $A_n$
is diagonal matrix with only two values $a, -a$ on the diagonal. The local law
is an essential step to prove the universality conjecture for this random
matrix model.
