  In this paper, we present data from the Blind Ultra-Deep HI Environmental
Survey (BUDHIES), which is a blind 21-cm HI spectral line imaging survey
undertaken with the Westerbork Synthesis Radio Telescope (WSRT). Two volumes
were surveyed, each with a single pointing and covering a redshift range of
0.164 < z < 0.224. Within these two volumes, this survey targeted the clusters
Abell 963 and Abell 2192, which are dynamically different and offer unique
environments to study the process of galaxy evolution within clusters. With an
integration time of 117x12h on Abell 963 and 72x12h on Abell 2192, a total of
166 galaxies were detected and imaged in HI. While the clusters themselves
occupy only 4 per cent of the 73,400 Mpc$^3$ surveyed by BUDHIES, most of the
volume consists of large-scale structures in which the clusters are embedded,
including foreground and background overdensities and voids. We present the
data processing and source detection techniques and counterpart identification
based on a wide-field optical imaging survey using the Isaac Newton Telescope
(INT) and deep ultra-violet GALEX imaging. Finally, we present HI and optical
catalogues of the detected sources as well as atlases of their global HI
properties, which include integrated column density maps, position-velocity
diagrams, global HI profiles, and optical and UV images of the HI sources.
