In this paper, it is argued that there are (at least) two different kinds of ‘epistemic normativity’ in epistemology, which can be scrutinized and revealed by some comparison with some naturalistic studies of ethics. The first kind of epistemic normativity can be naturalized, but the other not. The doctrines of Quine’s naturalized epistemology is firstly introduced; then Kim’s critique of Quine’s proposal is examined. It is argued that Quine’s naturalized epistemology is able to save some room for the concept of epistemic normativity and therefore his doctrine can be protected against Kim’s critique. But, it is the first kind of epistemic normativity that can be naturalized in epistemology. With the assistance of Goldman’s fake barn case, it is shown that the concept of epistemic normativity that is involved in the concept of knowing, which cannot be fully naturalized. The Gettier problem indicates that Quine only gets partially right idea concerning whether epistemology can (and should) be natualized.