Summary: A module \(M\) is called a simple continuous module if it satisfies the conditions \((\min-C_1)\) and \((\min-C_2)\). A module \(M\) is called singular simple-direct-injective if for any singular simple submodules \(A,B\) of \(M\) with \(A \cong B | M\), then \(A | M\). Various basic properties of these modules are proved, and some well-studied rings are characterized using simple continuous modules and singular simple-direct-injective modules. For instance, it is shown that a ring \(R\) is a right \(V\)-ring if and only if every right \(R\)-module is a simple continuous modules, and that a regular ring \(R\) is a right \(GV\)-ring if and only if every cyclic right \(R\)-module is a singular simple-direct-injective module.