The functions of local conformations of non-B form DNA and RNA, such as the G-quadruplex, are thought to be regulated by their specific binding proteins. They regulate the formation of G-quadruplexes in cells and affect the biological functions of G-quadruplexes. Recent studies reported that G-quadruplexes regulate epigenetics through these G-quadruplex binding proteins. We discuss regulation of histone modifications through G-quadruplex RNA and its binding proteins which modulate the G-quadruplex conformations. G-quadruplex RNA is involved in telomere maintenance and transcription via histone modification. Furthermore, G-quadruplex binding proteins regulate formation and biological functions of G-quadruplexes through regulating their folding or unfolding. In this review, we will focus on the G-quadruplex binding proteins containing RRM and RGG domains.