  We study an inflation model driven by a triplet of antisymmetric tensor
fields, with minimal and nonminimal couplings to gravity. First, we show that
the presence of a triplet of antisymmetric tensor fields can provide inherent
background isotropy in the stress-energy tensor contrary to the past studies
using an antisymmetric tensor field. Inflation is supported in the presence of
non-minimal couplings with gravity. We perform the slow roll analysis and also
analyse perturbations to the antisymmetric tensor field as well as the tensor
modes of perturbed metric. The speed of gravitational waves manifested from the
tensor perturbations is tuned to $c$. We also study the evolution of the
gravitational waves, calculate their power spectrum and tensor spectral index.
