The electron paramagnetic resonance (EPR) spectra of the trigonal prismatic complexes Tc(abt)3, Tc(bdt)3, Re(abt)3 and Re(bdt)3 (abt, O-aminobenzenethiol; bdt, benzene-1,2-dithiol) in dilute frozen solution are interpreted in terms of an axially symmetric spin Hamiltonian, with g values close to two, principal hyperfine couplings of |A Tc| ~ 5–12 × 10−4 cm−1, nuclear quadrupole couplings of |P Tc| ~ 0.3–0.35 × 10−4 cm−1 and the unusual values 5 × 10−4 cm−1 ~ |A Re | < |P Re| ~ |A Re | ~ |A Re | ~ 25 × 10−4 cm−1. Similar magnitudes of the parameters have been obtained by simulation of the previously published spectra of Re(pda)3, Re(tdt)3 and Re(pdt)3 (pda, O-phenylenediamine; tdt, toluene-3,4-dithiol; pdt, cis-1,2-diphenylethene-1,2-dithiol) by other authors. The unexpectedly large value of P relative to A is a common feature of all the Re tris-dithiolato and related trigonal prismatic complexes studied by EPR and is attributed to the high degree of delocalization of the unpaired electron onto the ligands and the distortion of the electron charge cloud. These factors are less evident in the complexes Tc(abt)3 and Tc(bdt)3. Intermolecular dipolar interactions, narrowed by weak exchange, are responsible for some of the spectral features observed in the solid state and concentrated (≫1 mM) frozen solutions, although there is no evidence for specific solute–solute interactions.