Vector supersymmetry in topological field theories.

We present a simple derivation of vector supersymmetry transformations for topological field theories of Schwarz- and Witten-type. Our method is simil ar to the derivation of BRST-transformations from the so-called horizontali ty conditions or russian formulae. We show that this procedure reproduces i n a concise way the known vector supersymmetry transformations of various t opological models (in particular of general relativity viewed as a topologi cal-like model) and we use it to obtain some new transformations of this ty pe for 4d topological YM-theories in different gauges.