In this paper, we study the corona theorem and Wolff theorem for the multiplier algebra of the Besov-Morrey space B-p(lambda)(s) when 0 < lambda,s < 1 < p < infinity. Here the Besov-Morrey space B-p(lambda)(s) is the space consisting of those analytic functions on the unit disc IID such that |f'(z)|(p)(1 - |z|(2))(p+s-2)dA(z) is a lambda s-Carleson measure.