The present study is to focus on the steady state response due to moving load in a homogeneous, isotropic thermoelastic material with double porosity in the context of Lord-Shulman theory [1] of thermoelasticity with one relaxation time. The load is moving at a constant velocity along the one of the coordinate axis. Fourier transform has been applied to obtain normal stress, tangential stress, equilibrated stresses and temperature distribution. The resulting expressions are obtained in the physical domain by using numerical inversion technique. Numerically computed results for these quantities are depicted graphically to study the effect of porosity for normal force and thermal source. Some particular cases are also deduced from the present investigation.