We present the kinematic analysis of a sub-sample of 82 galaxies at \mathrm { 0.75 < z < 1.2 } from our new survey HR-COSMOS aimed to obtain the first statistical sample to study the kinematics of star-forming galaxies in the treasury COSMOS field at \mathrm { 0 < z < 1.2 } . We observed 766 emission line galaxies using the multi-slit spectrograph ESO-VLT/VIMOS in high-resolution mode ( R=2500 ) . To better extract galaxy kinematics , VIMOS spectral slits have been carefully tilted along the major axis orientation of the galaxies , making use of the position angle measurements from the high spatial resolution HST /ACS COSMOS images . We constrained the kinematics of the sub-sample at 0.75 < z < 1.2 by creating high-resolution semi-analytical models . We established the stellar-mass Tully-Fisher relation at z \simeq 0.9 with high-quality stellar mass measurements derived using the latest COSMOS photometric catalog , which includes the latest data releases of UltraVISTA and Spitzer . In doubling the sample at these redshifts compared with the literature , we estimated the relation without setting its slope , and found it consistent with previous studies in other deep extragalactic fields assuming no significant evolution of the relation with redshift at z \lesssim 1 . We computed dynamical masses within the radius R _ { 2.2 } and found a median stellar-to-dynamical mass fraction equal to 0.2 ( assuming Chabrier IMF ) , which implies a contribution of gas and dark matter masses of 80 % of the total mass within R _ { 2.2 } , in agreement with recent integral field spectroscopy surveys . We find no dependence of the stellar-mass Tully-Fisher relation with environment probing up to group scale masses . This study shows that multi-slit galaxy surveys remain a powerful tool to derive kinematics for large numbers of galaxies at both high and low redshift .