  The Hubble tension is analyzed in the framework of quantum cosmological
approach. It is found that there arises a new summand in the expression for the
total energy density stipulated by the quantum Bohm potential. This additional
energy density acts similarly to a stiff matter component, modifying the
expansion history of the early universe and decaying with scale factor $a$ as
$a^{-6}$, faster than radiation, in late universe. Taking account of this
matter-energy component of quantum nature can, in principle, eliminate a
discrepancy between the direct late time model-independent measurements of the
Hubble constant and its indirect model dependent estimates. The considered
model allows one to extend the standard cosmology to quantum sector.
