  The $\nu$-component two-dimensional (2D) Bose liquid is considered. It is
shown that the finite temperature phase transition exists in this 2D
continuously degenerate multicomponent system. The new type of quasi-long-range
order occurs as a result of this transition. The correlation function in
ordered state is a product of the power-law XY-universality class type function
and the exponential function corresponding to the $SU(\nu)$ invariant model.
The transition temperature is calculated for the diluted system. It is found
that the physical mechanism of the phase transition is changed when $\nu$
exceeds the critical value $\nu_c = 4$. The experimental realization of the
considered model is discussed briefly.
