The transmission probability in graphene superlattices with triple periodic potential patterns induced by electric field was investigated by the transfer matrix method. It is demonstrated that the transmission probability as a function of incidence energy has more than one gap. The transmission gaps of electrons tunneling through a graphene superlattices can be modulated by changing the period number, incidence angle of electrons, height and width of the potential barrier. The transport properties in graphene superlattices with periodic potential patterns may lead to possible application in designing multi-channel electron wave filter.