We explore the Minkowski Functionals of weak lensing convergence map to distinguish between f(R) gravity and the General Relativity (GR). The mock weak lensing convergence maps are constructed with a set of high-resolution simulations assuming different gravity models. It is shown that the lensing MFs of f(R) gravity can be considerably different from that of GR because of the environmentally dependent enhancement of structure formation. We also investigate the effect of lensing noise on our results, and find that it is likely to distinguish F5, F6 and GR gravity models with a galaxy survey of ~3000degree^2 and with a background source number density of n_g=30arcmin^(-2), comparable to an upcoming survey Dark Energy survey (DES). ; Comment: 7 pages, 3 figures, submitted to Physical Review D