In this work we consider infinitesimal deformation $f:x^i\to x^i+\varepsilon z^i(x^j)$, where $z^i(x^j)$ is infinitesimal deformation field, $\varepsilon$-an infinitesimal real magnitude. We consider basic facts in connection with infinitesimal deformations and Lie derivative at non-symmetric affine connection space. The Lie derivative is expressed with respect to covariant derivatives of four kinds at a space of non-symmetric affine connection $L_N$, proving tensor character of the Lie derivative.