  The characterisation of cosmic voids gives unique information about the
large-scale distribution of galaxies, their evolution and the cosmological
model. We identify and characterise cosmic voids in the VIMOS Public
Extragalactic Redshift Survey (VIPERS) at redshift 0.55 < z < 0.9. A new void
search method is developed based upon the identification of empty spheres that
fit between galaxies. The method can be used to characterise the cosmic voids
despite the presence of complex survey boundaries and internal gaps. We
investigate the impact of systematic observational effects and validate the
method against mock catalogues. We measure the void size distribution and the
void-galaxy correlation function. We construct a catalogue of voids in VIPERS.
The distribution of voids is found to agree well with the distribution of voids
found in mock catalogues. The void-galaxy correlation function shows
indications of outflow velocity from the voids.
