  We report the detection of the Diffuse Interstellar Bands (``$DIBs$'') in the
optical spectra of seven far-infrared-selected starburst galaxies. The
$\lambda$6283.9 \AA and $\lambda$ 5780.5 \AA features are detected with
equivalent widths of $\sim$ 0.4 to 1 \AA and 0.1 to 0.6 \AA respectively. In
the two starbursts with the highest quality spectra (M82 and NGC2146), four
other weaker $DIBs$ at $\lambda$ 5797.0 \AA, 6010.1 \AA, 6203.1 \AA, and 6613.6
\AA are detected with equivalent widths of $\sim$ 0.1 \AA. The region over
which the $DIBs$ can be detected ranges from $\sim$ 1 kpc in the less powerful
starbursts, to several kpc in the more powerful ones. The gas producing the
$DIBs$ is more kinematically quiescent on-average than the gas producing the
strongly-blueshifted $NaI\lambda\lambda$5890,5896 absorption in the same
starbursts. We show that the $DIBs$ in these intense starbursts are remarkably
similar to those in our Galaxy: the relative strengths of the features detected
are similar, and the equivalent widths follow the same dependence as Galactic
$DIBs$ on $E(B-V)$ and $NaI$ column density. While the ISM in starbursts is
heated by a photon and cosmic ray bath that is $\sim$ 10$^3$ times more intense
than in the diffuse ISM of the Milky Way, the gas densities and pressures are
also correspondingly larger in starbursts. This ``homology'' may help explain
the strikingly similar $DIB$ properties.
