Directional correlation measurements have been made on the 356-82 kev, 301-82 kev, and 80-82 kev gamma-gamma cascades in Cs133 following the decay of 8-year half-life Ba133 with a coincidence scintillation spectrometer using NaI detectors. The observed correlation functions are: W(θ)=1+(0.042+/-0.005)P2(θ)- (0.0041+/-0.0038)P4(θ), W(θ)=1-(0.0257+/-0.011)P2(θ)- (0.0002+/-0.008)P4(θ), and W(θ)=1+(0.0487+/-0.017)P2(θ)+(0.0011+/-0.012)P4(θ), respectively, for the three cascades. These gamma-gamma directional correlations were found to be consistent with spin assignments of 72+, 52+, 32+, 32+, and 1/2 + to the levels at the ground state, 82-kev, 162-kev, 383-kev, and 438-kev in Cs133. The probable assignment of the multipolarities for different gamma rays is as follows: The 356-kev gamma ray is pure E2. The 82-kev gamma ray is a mixture of (96.5+/-0.5)% M1 and (3.5+/-0.5)% E2 with δ82=-0.190+/-0.014. The 301-kev gamma ray can have one of two possible mixtures: either δ301=+0.123+/-0.004 with a mixture of (98.5+/-1.0)% M1 and (1.5+/-1.0)% E2, or δ301=-3.98+/-1.02 with a mixture of (6+/-2)% M1 and (94+/-2)% E2. The value of δ301=-3.98+/-1.02 is more probable. The 80-kev gamma ray is also found to have two possible values of δ80: either δ80=+0.47+/-0.09 with a mixture of (82+/-6)% M1 and (18+/-6)% E2, or δ80=+7.0 with a mixture of (2.0+/-1.5)% M1 and (98.0+/-1.5)% E2.