  The one-loop polarization operator of neutral gluons in the background
constant Abelian isotopic, $H_{3}$, and hypercharge, $H_{8}$, chromomagnetic
fields combined with $A_0$ electrostatic potential at high temperature is
calculated. The case when $A_0=0$ is investigated separately. The proper time
method is applied. It is found that neutral gluons do not acquire magnetic
masses in the background fields, in contrast to the charged ones. The
application of the results are discussed.
