It is shown that if the squeezing function tends to one at an h-extendible boundary point of a C ∞ -smooth, bounded pseudoconvex domain, then the point is strictly pseudoconvex.Denote by B n the unit ball in C n . Let M be an n-dimensional complex manifold, and z ∈ M. For any holomorphic embedding f : M → B n with f (z) = 0, set 2010 Mathematics Subject Classification. 32F45, 32T25.