We present new ATCA 21-cm line observations of the neutral hydrogen in the nearby radio galaxy Centaurus A . We image in detail ( with a resolution down to 7 ^ { \prime \prime } , \sim 100 pc ) the distribution of H i along the dust lane . Our data have better velocity resolution and better sensitivity than previous observations . The H i extends for a total of \sim 15 kpc . The data , combined with a titled-ring model of the disk , allow to conclude that the kinematics of the H i is that of a regularly rotating , highly warped structure down to the nuclear scale . The parameters ( in particular the inclination ) of our model are somewhat different from some of the previously proposed models but consistent with what was recently derived from stellar light in a central ring . The model nicely describes also the morphology of the dust lane as observed with Spitzer . There are no indications that large-scale anomalies in the kinematics exist that could be related to supplying material for the AGN . Large-scale radial motions do exist , but these are only present at larger radii ( r > 6 kpc ) . This unsettled gas is mainly part of a tail/arm like structure . The relatively regular kinematics of the gas in this structure suggests that it is in the process of settling down into the main disk . The presence of this structure further supports the merger/interaction origin of the H i in Cen A . From the structure and kinematics we estimate a timescale of 1.6 - 3.2 \times 10 ^ { 8 } yr since the merging event . No bar structure is needed to describe the kinematics of the H i . The comparison of the timescale derived from the large-scale H i structure and those of the radio structure together with the relative regularity of the H i down to the sub-kpc regions does not suggest a one-to-one correspondence between the merger and the phase of radio activity . Interestingly , the radial motions of the outer regions are such that the projected velocities are redshifted compared to the regular orbits . This means that the blueshifted absorption discovered earlier and discussed in our previous paper can not be caused by out-moving gas at large radius projected onto the centre . Therefore , the interpretation of the blueshifted absorption , together with at least a fraction of the redshifted nuclear absorption , as evidence for a regular inner disk , still holds . Finally , we also report the discovery of two unresolved clouds detected at 5.2 and 11 kpc away ( in projection ) from the H i disk . They are likely an other example of left-over of the merger that brought the H i gas .