In the present work, we study the dynamics of a general null hypersurface in the Einstein Cartan (EC) theory generated by a null vector field $l^a$. We see that under a particular relation between the torsion tensor and the null generators called the geodesic constraint, the dynamical evolution of the Hajicek one-form is governed by the component  $hat{G)_{ab} l^a q^b_c$, where $q_{ab}$ is the induced metric on an orthogonal spacelike cross-section of the null surface and $hat{G}_{ab}$ is the analogue of the Einstein tensor in spacetime with intrinsic torsion. Using the gravitational field equations for the EC theory, we see that above mentioned evolution equations can be provided a fluid-dynamical interpretation respectively. The relevant thermodynamic and fluid parameters have been properly identified. The dynamics of the Hajicek one-form has been studied in a local inertial frame and its correspondence with Cosserat fluid has been established.