  Wigner function is a quasi-distribution that provides a representation of the
state of a quantum mechanical system in the phase space of position and
momentum. In this paper we find a relation between Wigner function and
appropriate measurements involving the system position and momentum which
generalize the von Neumann model of measurement. We introduce two probes
coupled successively in time to projectors associated with the system position
and momentum. We show that one can relate Wigner function to Kirkwood joint
quasi-distribution of position and momentum, the latter, in turn, being a
particular case of successive measurements. We first consider the case of a
quantum mechanical system described in a continuous Hilbert space, and then
turn to the case of a discrete, finite-dimensional Hilbert space.
