The high energy polarised muon beam available at CERN, with positive or negative charge, makes
COMPASS a unique place for studies of General Parton Distributions (GPDs). The first GPD
related COMPASS results were obtained for exclusive vector meson production on transversely
polarised protons and deuterons. The data were taken in 2003-2010 with solid-state polarised
targets, although without recoil detector. Results on various transverse target spin dependent
azimuthal asymmetries are presented and their relation to GPDs is discussed. The dedicated
COMPASS GPD program started in 2012 with commissioning of a new long liquid hydrogen
target and new detectors, such as the large recoil proton detector CAMERA and the large-angle
electromagnetic calorimeter. It was followed by a short pilot ’DVCS run’. The performance of the
setup and first results on DVCS channel are presented. The full data taking for the GPD program
approved within COMPASS-II proposal is planned in 2016 and 2017