We study the intermediate inflation in a non-canonical scalar field framework with a power-like Lagrangian. we obtain an inverse power law inflationary potential and approximate the total $e$-fold number of inflation in our model. Then, we estimate the inflationary observables and show that in contrast with the standard canonical intermediate inflation, our non-canonical model is compatible with the observational results of Planck 2015. Subsequently, 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. Therefore, we can resolve one of the mysteries of the inflation theory.