"Abstract. A catalogue of ionized gas velocity fields for a sample of 30 spiral and irregular galaxies of the Virgo cluster has been obtained by using 3D optical data. The aim of this survey is to study the influence of high-density environments on the gaseous kinematics of local cluster galaxies. Observations of the H\u03B1 line by means of Fabry\u2014Perot interferometry have been performed at the Canada\u2014France\u2014Hawaii Telescope, European Southern Observatory 3.6-m telescope, Observatoire de Haute-Provence 1.93-m telescope and Observatoire du mont M\u00E9gantic telescope at angular and spectral samplings from 0.4 to 1.6 arcsec and 7 to 16 km s\u22121. A recently developed, automatic and adaptive spatial binning technique is used to reach a nearly constant signal-to-noise ratio (S/N) over the whole field of view, allowing us to keep a high spatial resolution in high-S/N regions and extend the detection of signal in low-S/N regions. This paper is part of a series and presents the integrated emission-line and velocity maps of the galaxies. Both H\u03B1 morphologies and kinematics exhibit signs of perturbations in the form of, for example, external filaments, inner and nuclear spiral- and ring-like structures, inner kinematical twists, kinematical decoupling of a nuclear spiral, streaming motions along spiral arms and misalignment between kinematical and photometric orientation axes." . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . "A Virgo high-resolution H\u03B1 kinematical survey \u2014 II. The Atlas" . . . . . .