  The morphology of galaxies provide us with a unique tool for relating and
understanding other physical properties and their changes over the course of
cosmic time. It is only recently that we have been afforded access to a wealth
of data for an unprecedented number galaxies thanks to large and deep surveys,
We present the morphological catalogue of the OTELO survey galaxies detected
with the Hubble Space Telescope (HST)-ACS F814W images. We explore various
methods applied in previous works to separate early-type (ET) and late-type
(LT) galaxies classified via spectral energy distribution (SED) fittings using
galaxy templates. Together with this article, we are releasing a catalogue
containing the main morphological parameters in the F606W and F814W bands
derived for more than 8\,000 sources. The morphological analysis is based on
the single-S\'ersic profile fit. We used the GALAPAGOS2 software to provide
multi-wavelength morphological parameters fitted simultaneously in two HST-ACS
bands. The GALAPAGOS2 software detects, prepares guess values for GALFTI-M, and
provides the best-fitting single-S\'ersic model in both bands for each source.
Stellar masses were estimated using synthetic rest-frame magnitudes recovered
from SED fittings of galaxy templates. The morphological catalogue is
complemented with concentration indexes from a separate SExtractor dual, high
dynamical range mode. A total of 8,812 sources were successfully fitted with
single-S\'ersic profiles. The analysis of a carefully selected sample of ~3,000
sources up to phot_z=2 is presented in this work, of which 873 sources were not
detected in previous studies. We found no statistical evidence for the
evolution of the low-mass end of mass-size relation for ET and LT since z=2.
Furthermore, we found a good agreement for the median size evolution for ET and
LT galaxies, for a given stellar mass, with the data from the literature.
