A precision study of the decay of 134CSg and ~ 34Cs" has been made, using ordinary Ge(Li) spectrometers and a Compton-suppression spectrometer. The logft value of the second forbidden nonunique fl-decay to 134Xe has been measured to be 13.0_+0.2. The M4 7-ray transition in 13~Csm(8-) decay has been measured to have c~K= 73 + 7 and a hindrance of 7.0 over the Moskowski estimate. This is discussed in terms of the level configurations and the analogous transition in ~33Xe. A new intensity limit of 2 x 10 -6 has been set for the zero-phonon transition between the 4 + and 2 + members of the two-phonon triplet. This leads to an upper limit for B(E2)4~2, greater than 905. This and the more precise 7-ray intensity values are discussed in relation to presently available nuclear models.Radioactivity 134Cs and ~34Csm. Measured E~, I~,, 134Ba, 13'~Cs deduced levels.