A model system corresponding to continuous beam deposition on cold substrate is simulated on a computer using Monte Carlo technique. Negligible deposition takes place for beam temperatures higher than a certain transition temperature which corresponds to the absolute value of the binding energy of the particles. Relatively large needles abruptly appear as the beam temperature approaches the transition temperature. Further lowering of the beam temperature leads to the lengthening and the thickening of these needles most of, which eventually merge into each other at the transition temperature leading to a large "infinite" cluster. Almost uniform ‘film growth takes place for beam temperatures below the transition temperature. The behavior of the reduced average cluster size in the vicinity of the transition temperature, where it exhibits a sharp peak, is analyzed.