We study the superlubricity in the generalized Frenkel-Kontorova model. Each particle of the top layer is driven by external dc driving force F-ext. When the ratios of the three inherent length scales of the system are chosen to be the Golden Mean (a/b = 233/144; c/a = 144/89), we find that there exists a critical interparticle interaction strength above which the static friction force F-su of the top layer is zero. And F-su could easily flow into the low friction with existing the lubricant layer. (C) 2014 Elsevier B.V. All rights reserved.