in the metasurfaces. [8] A giant PSHE with nearly 100% efficiency can be realized at certain metasurfaces of deep subwavelength thicknesses in gigahertz region. [9] Faraday rotation is a kind of magnetooptical (MO) effect, which means the polarization rotation of linearly polarized beam when it passes through a transparent medium. As a single layer of carbon atoms arranged in a hexagonal lattice, graphene has attracted great attention due to its gapless Dirac-type electron bandgap structure and high electron mobility. [10,11] It is a revolutionary optical material, which shows fantastic optical properties in photonics and optoelectronics for terahertz to mid-infrared applications. In terahertz region, graphene exhibits an obvious Faraday rotation, which can be used to design tunable devices based on its MO effect. [12,13] Meanwhile when a magnetic field is applied perpendicular to graphene, the hybridization of plasmons and cyclotron excitations generates graphene magneto-plasmons (GMP). The GMP modes can significantly affect the MO response of graphene waveguides. [14] Large Faraday rotation was achieved in arrays of graphene microribbons, through the excitation of the magneto-plasmons of individual ribbons. [15] In addition, the Faraday rotation can be modulated in intensity, tuned in frequency by strong magneto-plasmonic resonances in antidotpatterned graphene. [16] In this paper, we study the MO modulation of PSHE of transmitted light in graphene-substrate system in terahertz region to explore its new application in MO devices. The PSHE shift expressions in graphene-substrate system are given by the angular spectrum analysis. The MO-modulated PSHE of graphene is analyzed in detail and its potential applications in multichannel switch and barcode encryption are discussed.