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In this paper, we introduce the notion of small radical supplemented modules, which is adapted from small supplemented modules and obtain the various properties of these modules. It is clear that every small supplemented module and weakly radical supplemented module are small radical supplemented modules. In this study, we give examples for which the converses of these propositions need not to be true. We prove that the class of small radical supplemented modules is closed under finite sums and factor modules. Moreover, it is shown that a submodule N of M which is small in M is small radical supplemented if and only if M/N is small radical supplemented where M is a module over any left hereditary ring. Nevertheless, we show that for a left hereditary ring R, RR is small radical supplemented if and only if R/Rad(R) is small supplemented. Also, we prove that every small radical supplemented module over a local Dedekind domain (DVR) is radical supplemented. [ABSTRACT FROM AUTHOR]