  In this paper we work in the context of Teleparallelism Equivalent to General
Relativity (TEGR) in order to construct the energy-momentum flux for
G\"odel-type solutions of Einstein's equations. We use an stationary observer,
which is settled by the tetrad choice, to obtain the gravitational pressure for
each direction of space in cartesian coordinates. Then we write down the total
pressure for each direction in terms of the pressure of the fluid, thus we are
able to identify role of the gravitational pressure.
