In this paper we report CCD photometry in broad band B, R, and I color
s, as well as in the Her, for a sample of eight H II galaxies with str
ong radio emission. In addition, we present new radio continuum observ
ations in the frequency range between 8 and 15 GHz. For seven of these
galaxies, previous radio continuum observations have been reported by
Deeg et al. (1993); data on Hare 1 are presented here for the first t
ime. Their unusual radio spectra, according to Deeg et al., are a cons
equence of rapidly changing star formation rates in their past. An ind
ependent verification of this conclusion is the motivation for the opt
ical observations reported here. Their interpretation is the subject o
f the next article in this series. The new radio measurements confirm
the interpretation of the radio spectra by Deeg et al. In combination
with extinction corrected Her fluxes, the new radio measurements allow
the determination of thermal radio fluxes - a fundamental parameter f
or star formation rates with higher reliability than is possible from
one wavelength domain alone. Overlays of optical observations at diffe
rent colors with radio maps, as well as a search of the literature, in
dicates that all sample galaxies are in interacting environments, whic
h is a possible prerequisite for the strength of the radio emission an
d star formation observed in these galaxies.