  The variational Monte Carlo method is applied to investigate the ground state
energy of the lithium atom and its ions up to Z=10 in the presence of an
external magnetic field regime with {\gamma}=0 ~ 100 a.u. Our calculations are
based on using three forms of compact and accurate trial wave functions, which
were put forward in calculating energies in the absence of magnetic field. The
obtained results are in good agreement with the most recent accurate values and
also with the exact values.
