  We consider a D2-brane in the pp-wave backgrounds obtained from
AdS$_4\times$CP$^3$ when electric and magnetic fields have been turned on. Upon
fixing the light-cone gauge, light-cone Hamiltonian and BPS configurations are
obtained. In particular we study BPS configurations with electric dipole on the
two sphere giant and a giant graviton rotating in transverse directions.
Moreover we show that the gauge field living on the D2-brane is replaced by a
scalar field in the light-cone Hamiltonian. We also present a matrix model by
regularizing (quantizing) 2-brane theory.
