Thermal-gradient chemical vapor infiltration (TG-CVI) is a group of alternatives to classical CVI, involving a strong thermal gradient. It allows one to fabricate, e.g. carbon-matrix or ceramic-matrix composite materials starting from a fibrous preform and a gaseous precursor, the cracking of which results in a solid deposit constituting the composite matrix. The main interest of these processes short fabrication time; however, their control is difficult. Past modelling works [Vignoles, G.L., Goyheneche, J.-M., Sebastian, P., Puiggali, J.-R., Lines, J.-E, Lachaud, J., Delhaes, P., Trinquecoste, M., 2006. The film-boiling densification process for C C composite fabrication: from local scale to overall optimization. Chemical Engineering Science 61, 5336-5353; Nadeau, N., Vignoles, G.L., Brauner, C.-M., 2006. Analytical and numerical study of the densification of carbon/carbon composites by a film-boiling chemical vapor infiltration process. Chemical Engineering Science 61, 7509-7527] have shown that process control and optimization are possible and are based on the notion of densification front. In this paper, a 2D transverse stability study is presented for this front. A condition for stability is worked out; the influence of processing parameters is discussed. It appears that in usual processing cases, the stability criterion is fulfilled, but that it could be violated if some careless process up-scaling is performed. (c) 2007 Elsevier Ltd. All rights reserved.