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Among the other types of supernovae, Type Ia Supernovae (SNe Ia) have lessluminosity dispersion at maximum light and show higher optical luminosities.These properties allow to use SNe Ia as cosmological distance indicators that ledto the discovery of the accelerating expansion of the Universe. However, even af-ter the so-called ”standardization” procedure (luminosity correction for stretchand colour parameters) there is a remaining dispersion on the Hubble diagram ofabout 0.11 mag. This dispersion can be due to environmental effects (age, chem-ical composition, dust around a SN) which are not yet fully taken into account inthe modern cosmological analyses. In this work we study the impact of SN host-galaxymorphologyonthedistancemeasurementsandcosmology. Theanalysisisbased on two most recent cosmological samples of supernovae: JLA (Joint Light-curve Analysis) and Pantheon. We conβirm that the stretch-parameter dependson the host morphology, but there is no any correlation for the colour. We alsoshow that the improvement of the Hubble diagram βit can be carried on by in-cluding additional nuisance parameter accounting for host morphology. In theepoch of large transient surveys (such as LSST), development of observationaltechniques and further processing of the data, a study of environment and otherpossible sources of systematical uncertainties in the cosmological analysis is ofhigh priority.