  We study slow-roll inflation and the generation of primordial fluctuations in
$F(T)$ gravity's rainbow. We obtain the second order action for scalar and
tensor perturbations and then calculate the primordial power spectrum for them.
Thus, after calculating the inflationary observables up to first order in
slow-roll approximation, namely the scalar spectral index $n_{s}$ and the
tensor-to scalar ratio $r$, we confront the predictions of the model with the
current PLANCK and BICEP/Keck data.
