  The problem of fixing measure in the path integral for the Regge-discretised
gravity is considered from the viewpoint of it's "best approximation" to the
already known formal continuum general relativity (GR) measure. A rigorous
formulation may consist in comparing functional Fourier transforms of the
measures, i.e. characteristic or generating functionals, and requiring these to
coincide on some dense set in the functional space. The possibility for such
set to exist is due to the Regge manifold being a particular case of general
Riemannian one (Regge calculus is a minisuperspace theory). The two versions of
the measure are obtained depending on what metric tensor, covariant or
contravariant one, is taken as fundamental field variable. The closed
expressions for the measure are obtained in the two simple cases of Regge
manifold. These turn out to be quite reasonable one of them indicating that
appropriately defined continuum limit of the Regge measure would reproduce the
original continuum GR measure.
