Nematic ordering in anisotropic non-Gaussian elastomers is considered theor
etically using mean field approximation. We focus oil the effect of anisotr
opy during network cross-linking on the system elasticity and, in particula
r, on the so-called soft deformation mode. As the main result: we calculate
the dependence of the elastomer free energy on the angle between the axis
of "frozen" anisotropy and the nematic director. The dependence of the isot
ropic-nematic transition point on the orientational field acting on the mon
omers during the cross-linking process is also calculated.