  We study the intermediate inflation in a non-canonical scalar field framework
with a power-like Lagrangian. We show that in contrast with the standard
canonical intermediate inflation, our non-canonical model is compatible with
the observational results of Planck 2015. Also, we estimate the equilateral
non-Gaussianity parameter which is in well agreement with the prediction of
Planck 2015. Then, we obtain an approximation for the energy scale at the
initial time of inflation and show that it can be of order of the Planck energy
scale, i.e. ${M_P} \sim {10^{18}}\,{\rm{GeV}}$. We will see that after a short
period of time, inflation enters in the slow-roll regime that its energy scale
is of order ${M_P}/100 \sim \;{10^{16}}{\rm{GeV}}$ and the horizon exit takes
place in this energy scale. We also examine an idea in our non-canonical model
to overcome the central drawback of intermediate inflation which is the fact
that inflation never ends. We solve this problem without disturbing
significantly the nature of the intermediate inflation until the time of
horizon exit.
