  We adopt the double field natural inflation model motivated by the
non-perturbative effects of supergravity and superstring theory to do the slow
roll analysis. We show that when the parameters are suitably chosen, there
exist ranges of initial values of fields that can satisfy the constraints of
Planck observations. This implies less fine tuning of field values can be
allowed with tolerance of $4 {M}_{\text{pl}}$ for ${\phi}_{1}$ and $5
{M}_{\text{pl}}$ for ${\phi}_{2}$ respectively, which become more physical for
field fluctuation in quantum era. We also show that the spectral index
${n}_{\mathcal{RR}}$, the fraction of entropic power spectrum and the fraction
of power spectra (so-called ${\beta}_{\text{iso}}$) and $\cos{\Delta}$ can
satisfy the constraints of Planck observation. This implies that double field
natural inflation is a valid model to describe cosmological inflation.
