  We investigate propagation of gravitational waves in the most general
teleparallel gravity model with second order field equations around the
Minkowski background. We argue that in this case the most general Lagrangian at
the first order of perturbations is given by the linear combination of
quadratic invariants and hence coincides with the well-known new general
relativity model. We derive the linearized field equations and analyze them
using the principal polynomial and the Newman-Penrose formalism. We demonstrate
that all gravitational wave modes propagate at the speed of light and there are
up to six possible polarizations. We show that two tensorial modes of general
relativity are always present and the number of extra polarizations depends on
the free parameters of the new general relativity model.
