We study an in ation model that in aton eld is non-minimally coupled to the scalar curvature on the Randall{Sundrum (RS) II brane. We investigate the e ects of the non- minimal coupling on the in ationary dynamics of this braneworld model. Our study shows that the number of e-folds decreases by increasing the value of the conformal coupling. We compare our model parameters with the minimal case and also with recent observational data. In comparison with recent observation, we obtain a constraint on the values that conformal coupling attains.
