  In this paper we define a new class of the quantum integrable systems
associated with the quantization of the cotangent bundle $T^*(GL(N))$ to the
Lie algebra $\frak{gl}_N$. The construction is based on the Gelfand-Zetlin
maximal commuting subalgebra in $U(\frak{gl}_N)$. We discuss the connection
with the other known integrable systems based on $T^*GL(N)$. The construction
of the spectral tower associated with the proposed integrable theory is given.
This spectral tower appears as a generalization of the standard spectral curve
for integrable system.
