The following explanation is taken from a drasha given on leil Shabbos by Rav Moshe Sternbuch, Rosh Av Beis Din of the Eidah Chareidis of Yerushalyim, and rewritten by Rabbi Daniel Yaakov Travis: (found online)
In the Birkas Hachodesh that is recited in shul before Rosh Chodesh, we mention yiras Shomayim twice. One time we add yiras cheit, fear of transgression, and once we say yiras Shomayim without any additions. [...]
These two descriptions refer to the two different types of Divine fear. Yiras Shomoayim by itself refers to an appropriate level of fear that is experienced as a result of the Divine Presence being revealed. However, yiras cheit is a constant sense of awe that can only come from Torah study and working to internalize the level that we reach when seeing and contemplating the Almighty’s miracles.