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We discuss neutron $^{3}P_{2}$ phases in the core of neutron stars in strongmagnetic field (magnetars). The neutron $^{3}P_{2}$ pairing provides a widevariety of condensates, such as the uniaxial nematic and (D$_{2}$ and D$_{4}$)biaxial nematic, with different symmetries stemming from the combinations ofspin and momentum. Based on the spin-orbital angular momentum coupling and thespin-magnetic field coupling of the neutrons, we derive the Ginzburg-Landauequation containing higher order terms of the magnetic field. We investigatethe phase diagram of the neutron $^{3}P_{2}$ superfluidity, and find that theD$_{2}$ biaxial nematic phase is extended by the higher order terms of themagnetic field. We also discuss the thermodynamic properties, the heat capacityand the spin susceptibility.

Effects of strong magnetic fields on neutron $^{3}P_{2}$ superfluidity with spin-orbit interactions