A molecular field theory is developed to find the possible configurations of magnetic moments for cubic and tetragonally distorted spinels in the presence of anisotropy. The starting assumptions are, in a normal spinel both A and B ions are magnetic, A-B interactions are predominant and anisotropic, A moments are ferromagnetically ordered and have no anisotropy, only B moments have a local anisotropy, the magnetic cells remain either fcc for the cubic spinels or bcc for the tetragonal spinels. For one B ion the Hamiltonian is H=-μBHA [G]S-μBH0 [g]S, where HA is the field created by A moments, H0 is the external field, and [G] and [g] are tensors representing exchange and local anisotropy, respectively, and are taken to have the symmetry of the surrounding oxygen octahedron. By minimizing the energy of the whole system and taking into consideration the symmetry of the cell, we find at T=0 and H0=0 a general solution corresponding to a nonregular configuration of B moments. This configuration itself depends on its direction in crystal space, which in turn is defined by the choice of parameters. The resulting A and B moments are generally noncollinear. Some particular cases that correspond to earlier experimental data for spinel manganites are described. The deformations of one structure under the influence of an external field are also given.