Conformal symmetry in two-dimensional space: Recursion representation of conformal block

4-point conformal block plays an important part in the analysis of the conformal invariant operator algebra in two-dimensional space. Asymptotics of the conformal block is calculated in the limit when the dimension $\Delta$ of the intermediate operator tends to infinity. This makes it possible to construct a recurrent relationship for this function connecting the conformal block with arbitrary $\Delta$ with the blocks corresponding to the dimensions of zero vectors in degenerate representations of Virasoro algebra. This relationship is useful for calculating the conformal block expansion in powers of the uniformizing parameter $q=\mathrm{exp}\,i \pi\tau$.