Аннотация:Abstract. In this paper, it is proved that the group AutQ of all holomorphic automorphisms aholomorphically homogeneous nondegenerate model surface Q is a subgroup of the group of birationalisomorphisms of the ambient complex space (the Cremona group) of uniformly bounded degree. Thedegree is estimated in terms of the dimension of the ambient space (Theorem 4). It is shown that nocondition of the theorem can be weakened. In the paper, the question of the connectivity of AutQ isalso considered (Theorem 7). This paper is directly adjacent to the previous paper of the author.