Abstract We study the growth through particle deposition of the surface of a discrete two-dimensional system, in which the motion of particles is affected by infinite gravity and the Kob–Andersen kinetic rule. Computer simulation results are found to be consistent with previous results in literature, showing that this particular case belongs to the same universality class as Ballistic Deposition, the Eden model, one step solid-on-solid (SOS) deposition and Kardar–Parisi–Zhang (KPZ) characterized by scaling exponents α = 0.5 , β = 1 / 3 = 0.33 and z = α / β = 1.5 .