  In this paper, spectra of the quarkonium states has been studied using the
conditions temperature, chemical potential and the magnetic field. Here our
main focus is to study the effect of strong magnetic field on the quarkonium
properties. The binding energies and the dissociation temperature for the
ground and the first excited states of the charmonium and bottomonium in the
presence of strong magnetic field at chemical potential \mu = 500 MeV has been
studied. Here we use quasiparticle (QP) Debye mass depending upon temperature,
magnetic field and chemical potential obtained from the quasiparticle approach.
The Debye mass strongly increases at different values of temperature and
magnetic field. The binding energy decreases with increase in the temperature
at different magnetic field eB= 0.3, 0.5, and 0.7 GeV2 and also decreases with
magnetic field at different at T=200,300 and 400 MeV for the J/\psi, \psi,
\upsilon, and \upsilon prime states of the quarkonia. The dissociation
temperature of the quarkonium states falls with the increasing values of the
magnetic field at critical temperature Tc =197 MeV
