The main purpose of this paper is to give examples of effective semisimple pseudo-Hermitian symmetric spaces satisfying a certain supposition (S). If an effective semisimple pseudo-Hermitian symmetric space satisfies the supposition (S), then one can clarify several properties of the pseudo-Hermitian symmetric space—for example, any holomorphic function on the space is constant, the group of holomorphic automorphisms of the space is a (finite-dimensional) Lie group, and so on.