For multiplicative characters chi_1, ..., chi_m of F_q, we let J(chi_1, ..., chi_m) denote the Jacobi sum. N. M. Katz and Z. Zheng showed that for m=2, q^{-1/2}J(chi_1,chi_2) (chi_1 chi_2 nontrivial) is asymptotically equidistributed on the unit circle as q tends to infinity, when chi_1, chi_2 run through all nontrivial multiplicative characters of F_q. In this talk, we will prove a similar property for m>=2. More generally, we show that q^{-(m-1)/2}J(chi_1, ..., chi_m) (chi_1 ... chi_m nontrivial) is asymptotically equidistributed on the unit circle, when chi_1, ..., chi_m run through arbitrary sets A_1, ..., A_m of nontrivial multiplicative characters of F_q satisfying q(ln q)^2 / #A_1 #A_2 -> 0. This is joint work with W. Zheng and Z. Zheng.