We review the thermodynamical properties of the (super)membranes in ca
nonical ensemble. The free energy for flat supermembranes and for comp
actified supermembranes is calculated in semiclassical approximation.
The corresponding extension for super-p-branes is also presented. The
presence of the Hagedorn temperature which depends on the cut-off para
meter is found. It is shown that the free energy for (super)membranes
can be presented in modular invariant form (SL(2, Z) invariance). Some
connected problems (the calculation of the static potential, the prob
able dual symmetry) for bosonic p-brane are also discussed.