Let (M,T) be a closed manifold with an involution T.The fixed point set of T is F.In this article,bordism classes of the involutions with fixed point set F =m∪i=1 CPi(1) × HP2(n) are determined,where CP(1) and HP(n) denote the 1-dimensional complex projective space and n-dimensional quaternionic projective space respectively,and n=2p-2orn=2p-1 (p＞1).