  We investigate gravitational radiation in the linear approximation within the
framework of the recent nonlocal generalization of Einstein's theory of
gravitation. In this theory, nonlocality can simulate dark matter; in fact, in
the Newtonian regime, we recover the phenomenological Tohline-Kuhn approach to
modified gravity. To account for the observational data regarding the rotation
curves of spiral galaxies, nonlocality is associated with a characteristic
length scale of order \lambda_0 = 10 kpc. It follows that in nonlocal gravity,
the treatment of extremely low-frequency (~ 10^{-12} Hz) gravitational waves
with wavelengths of order \lambda_0 would be quite different than in general
relativity. However, for radiation of frequency > 10^{-8} Hz, which is the
frequency range that is the focus of current observational searches, the
corresponding wavelengths are very small compared to \lambda_0. We find that in
this frequency regime the nonlocal deviations from general relativity
essentially average out and can be safely neglected in practice.
