To consider $R$ is a n abelian ring with an identical member and $M_d$ is non-zero unitary left module over a ring $R$. $M_d$ is said to be a Hollow Module (HM) if each proper sub-mod (sub-mod) of $M_d$ is small. A local primary hollow module (LPHM) is defined as a generalization of HM. A module is said to be a LPHM if $M_d$ has one primary sub-mod with each small sub-mods. Our paper studies the type of such modules and it introduces some essential concepts that elaborate this issue.