This manuscript is devoted to study several generalized notions of 𝐂̂ech normality in 𝐂̂ech Closure space. This work examines different kinds of 𝐂̂ech normality that are located between the 𝐂̂ech 𝚫−normal and 𝐂̂ech −normal spaces. The relations between these distinctions of 𝐂̂ech normality are established, and some of examples are provided to support it. By using 𝐂̂ech −normal space, novel normality decomposition are obtained.