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.