In this work, the concept of strongly extending modules has been introduced for semimodules category. We call a semimodule C is strongly extending if for each subsemimodule A in C there is a stable direct summand B of C such that A is essential in B. Various characterizations of strongly extending semimodules are obtained. It is discussed direct sum property for strongly extending semimodules and gives more than results which this property is valid. Also, we provide many results concerned with the hereditary property for extending semimodules. A useful sufficient condition is given for the equivalence between extending and strongly extending semimodules. Further, we get a partial relation between extending semimodules and subtractive semimodules.