  Considering the general structure of the two point functions of quarks and
gluons, we compute the free energy and pressure of a strongly magnetized hot
and dense QCD matter created in heavy-ion collisions. In presence of strong
magnetic field we found that the deconfined QCD matter exhibits a paramagnetic
nature. One gets different pressure in a direction parallel and perpendicular
to magnetic field due to the magnetization acquired by the system. We obtain
both longitudinal and transverse pressure, and magnetization of a hot
deconfined QCD matter in presence of magnetic field. We have used hard thermal
loop approximation (HTL) for heat bath. We obtained completely analytic
expression for pressure and magnetization under certain approximation. Various
divergences appearing in free energy are regulated using appropriate counter
terms. The obtained anisotropic pressure may be useful for magnetohydrodynamics
description of a hot and dense deconfined QCD matter produced in heavy-ion
collisions.
