We present CCD images of a sample of 39 H II galaxies taken at the Dan
ish 1.54-m telescope on La Silla, The images are used to analyse the m
orphology of these emission-line dwarfs, and the structural properties
of the knots of star formation and of the underlying galaxy, The size
s of the starbursts are measured, We propose a morphological classific
ation based on the presence or absence of signs of tails, extensions?
or distorted outer isophotes, This criterion segregates the objects in
to two broad morphological types with different physical properties, t
he more disturbed and extended (type I)H Ir galaxies having larger lum
inosities and velocity dispersions than the more compact and regular (
type II) objects, The relative position of H II galaxies and of a samp
le of dwarf elliptical galaxies in the [R-sigma] diagram supports the
hypothesis of a possible evolutionary link between the two types of ga
laxy.