The electronic properties of van der Waals(vdW)structures can be substantially modified by the moire superlattice potential,which strongly depends on the twist angle among the compounds.In twisted bilayer graphene(TBG),two low-energy Van Hove singularities(VHSs)move closer with decreasing twist angles and finally become highly non-dispersive flat bands at the magic angle(～ 1.1°).When the Fermi level lies within the flat bands of the TBG near the magic angle,Coulomb interaction is supposed to exceed the kinetic energy of the electrons,which can drive the system into various strongly correlated phases.Moreover,the strongly correlated states of flat bands are also realized in other graphene-based vdW structures with an interlayer twist.In this article,we mainly review the recent scanning tunneling microscopy(STM)advances on the strongly correlated physics of the magic-angle TBG(MATBG)and the small-angle twisted multilayer graphene.Lastly we will give out a perspective of this field.