  In this paper, we consider a translating soliton for the inverse mean
curvature flow given as a graph of a function on a domain in a unit sphere
whose level sets give isoparametric foliation. First, we show that such
function is given as a composition of an isoparametric function on the unit
sphere and a function which is given as a solution of a certain ordinary
differential equation. Further, we analyze the shape of the graphs of the
solutions of the ordinary differential equation. This analysis leads to the
classification of the shape of such translating solitons for the inverse mean
curvature flow.
