The Stark effect has been studied in the odd-parity 6snf t, 3F3 Rydberg series of barium with high-resolution laser-atomic-beam spectroscopy. Scalar and tensor polarizabilities have been measured of 6snf 1F 3 levels with n=ll-30 and of 6snf 3F 3 levels with n = 12-40. The contributions of the adjacent even-parity Rydberg levels to these polarizabilities have been calculated as far as data are available. This results in important additional information on the only partly known 6sng 1'3G 4 series and confirms the perturbation of these series at n=24 by a 5d7dJ=4 level. A tentative three-channel quantum-defect-theory analysis of the 1,3G4 series has been performed. It is shown that reported level energies of the 6snd 1, 3D2 series are systematically 0.14 cm-1 too high. Level energies of the t,3F3 series have been determined by Post et al. [2], who analyzed their data in the framework of Multichannel Quantum Defect Theory (MQDT) (see e.g. Ref. 3). These series turn, out to be perturbed by levels of the 5d8p configuration. Combination of the MQDT analysis of the level energies of the J=3 series with the accurate measurements of hyperfine structure and isotope shifts in the 6snf Rydberg series by Post et al. [4] results in reliable information on the wave functions of the 1,3F3 series in terms of single-triplet mixing and admixture of perturber character. Level energies of the 1,3D2 series measured by Aymar et al. [51 and of the 3D 3 series (Camus et al., Ref. 6), together with their MQDT analyses [3, 7]are available. The 6snd series are perturbed by levels of the 5d7d configuration in the energy region of interest. These perturbers are expected to affect the 6sng series as well. Camus et al. [6] give level energies for the 6sng 1'3G series, but are unable to resolve singlet and triplet levels except for some levels of the 3G3, 3G 4 and 3G 5 series in the vicinity of these 5d7d perturbers. Tentative MQDT analyses of these results on the 6sng Rydberg series have been published by Aymar and Camus [7], who included