Let $ X $ be a completly regular, $ C(X) $ ring of continuous functions on $ X $ and $ C_{c}(X) $ consisting of functions with countable image. The article is focuses on the study of almost CP-space and relation between P-space, almost P-space, CP-space and almost CP-space. We observe that in zero-dimensional space, the almost CP-spaces and almost P-spaces are coincide.
