This is a global and multi-annual space-borne data set of tropospheric {H2O,δD} pairs based on radiance measurements from the nadir thermal infrared sensor IASI (Infrared Atmospheric Sounding Interferometer) onboard the Metop satellites of EUMETSAT (European Organisation for the Exploitation of Meteorological Satellites). The data set is an a posteriori processed extension of the MUSICA (MUlti-platform remote Sensing of Isotopologues for investigating the Cycle of Atmospheric water) IASI full product dataset (DOI:10.35097/408). The data are available for all cloud-free MUSICA IASI retrievals for the continuous time period between October 2014 and June 2019 and with a global coverage twice per day (local morning and evening overpass times). The data set contains the H2O and δD vertical profile together with estimations of the leading error components, and information on the vertical representativeness in form of the averaging kernels. The complete data set has a volume of about 7 TB and is archived at bwDataArchive (a long-term data archive for scientific data). Details on data format, access, and authenticity are given in the file "ReadMe.pdf". The files "*.md5" collect the MD5 checksums of the data in bwDataArchive and allow the verification of the authenticity of the data set provided via the download link. The file "IASIAB_MUSICA_030201_L2pp_H2Oiso_v2_20180801_morning_global.nc" is an example of the data set and contains all morning data of 01 August 2018.