Let XM be a submanifold of a differentiable manifold XN (XM ⊂ XN). If on XN a non-symmetric affine connection L is defined by coefficients Lijk , L i k j and on XM a non-symmetric basical tensor 1 (1αβ , 1βα) is given, in the present paper we investigate the problem: Find a relation between induced connection L from LN into XM end the connection Γ, defined by the tensor 1 in XM. The solutions is given in the Theorem 3.1., that is by the equation (3.9). Some examples are constructed,