  We find the asymptotic spectral distribution of random Kummer matrix. Then we
formulate and prove a~free analogue of HV independence property, which is known
for classical Kummer and Gamma random variables and for Kummer and Wishart
matrices. We also prove a related characterization of free--Kummer and
free--Poisson (Marchenko-Pastur) non--commutative random variables.
