In this paper we study the reflection of electromagnetic waves in Fibonacci, Thue-Morse, double-period quasi-periodic one-dimensional photonic crystals containing grapheme sheets, using transfer matrix method.we shown that in the presence of graphene sheets in the quasi-period structures, there is an omnidirectional graphene induced photonic band gap in addition to Bragg photonic gap for both TE and TM polarization modes in the all considered structures. Also, we show that Bragg band gap width increases (decreases) with angle of incidence for TE (TM) waves, for all structures and it  shifts to higher frequencies for both waves.  As well as, Bragg omnidirectional photonic gaps in the all three quasi-periodic structures, unlike the TE waves, do not form for TM waves