Recent morphological studies by Telles & Terlevich of H II galaxies, i
.e. dwarf galaxies dominated by a very luminous starburst, have indica
ted that luminous H II galaxies tend to show disturbed morphology sugg
estive of tidal interactions triggering the present starburst, while l
ow-luminosity H II galaxies tend, instead, to be symmetric and regular
. To check the tidal origin of the starburst in H II galaxies, we have
searched for companions in the neighbourhood of a sample of 51 H II g
alaxies. We found that only 12 H II galaxies have a neighbour within a
projected distance of 1 Mpc and 250 km s(-1) in velocity difference a
nd, of these 12, only four have a luminous (M(B) < - 19) neighbour. Su
rprisingly, isolated H II galaxies tend to be of high luminosity and d
isturbed morphology, while H II galaxies with neighbours tend to be lo
w-luminosity regular H II galaxies. Furthermore, the metal abundance a
nd the equivalent width of the emission lines in H II galaxies do not
depend on the presence of a companion. These results are opposed to wh
at is expected if interaction with a bright companion is the main mech
anism triggering the starbursts. We have also found a loose group of H
II galaxies with no luminous companion. For this, there is the additi
onal difficulty of understanding how these starbursts are synchronized
on time-scales of less than 10(7) yr in systems separated by similar
to 1-2 Mpc.