Link prediction is a key technique in various applications such as prediction of existence of relationship in biological network. Most existing works focus the link prediction on homogeneous information networks. However, most applications in the real world require heterogeneous information networks that are multiple types of nodes and links. The heterogeneous information network has complex correlation between a type of link and a type of path, which is an important clue for link prediction. In this paper, we propose a method of link prediction in the heterogeneous information network that takes a type correlation into account. We introduce the Local Relatedness Measure (LRM) that indicates possibility of existence of a link between different types of nodes. The correlation between a link type and path type, called TypeCorr is formulated to quantitatively capture the correlation between them. We perform the link prediction based on a supervised learning method, by using features obtained by combining TypeCorr together with other relevant properties. Our experiments show that the proposed method improves accuracy of the link prediction on a real world network.