Detailed results of heat capacity and magnetization measurements are reported on a single crystal sample of the spin Sϭ1 quasi-one-dimensional Heisenberg antiferromagnet Ni(C 5 H 14 N 2 ) 2 N 3 (PF 6 ), abbreviated NDMAP. From these results, we constructed the magnetic field (H) versus temperature phase diagram of this compound which exhibits the quantum disordered Haldane, field-induced long-range-ordered ͑LRO͒ and thermally disordered paramagnetic phases. The phase boundary curve separating the paramagnetic and LRO phases is anisotropic; the increase of the Néel temperature (T N ) with H along the a and b axes is more rapid than that along the c axis. We calculated T N as a function of H by taking into account the interchain coupling as the form of a mean field. The calculation of the staggered susceptibility of the Sϭ1 one-dimensional antiferromagnet with an easy-plane anisotropy shows quite different behavior in the different field directions, resulting in the anisotropic phase boundary curve. A good agreement is obtained between theory and experiment using the exchange and anisotropy constants obtained from the neutron scattering experiment.