When subfragment-1 of rabbit skeletal myosin was extensively modified with N-ethylmaleimide, the protein became strongly associable to actin in the presence of MgATP at low ionic strength, while the ATPase ceased to be activated by actin. Various concentrations of the modified protein were mixed with 10 μmol of pure actin or actin complexed with tropomyosin, and the fraction β of actin saturated with the modified protein in each mixture was determined by an ultracentrifugal method. We then added 0.3 μmol of unmodified subfragment-1 to the same sets of mixtures as used in the above experiments and determined the rate of ATP hydrolysis V by unmodified subfragment-1 as a function of β. A biphasic V-β relation was obtained for the tropomyosin-actin complex: when β was increased continuously from zero, the rate first increased substantially, had a maximum value more than tenfold larger than the initial at β ∼- 0.3, and finally decreased to zero. In contrast, the V-β profile for pure actin deviated downwards from a linear relation, showing that there was a weak repulsive interaction between the modified and unmodified subfragment-1 species bound to the actin filament. The occurrence of such a repulsion was interpreted in terms of a steric hinderance model. Assuming that the same kind of repulsion underlay the biphasic V-β relation for the tropomyosin-actin complex, we calculated the relation of V′-β in an ideal case where it was absent. The result was also biphasic. We studied regulated actin in the presence and absence of Ca 2+ by the same method and obtained biphasic V′-β relations in both cases. The experimental results were analyzed by a two-state model based on the proposal of Bremel & Weber (1972) that, within tropomyosin-actin or the regulated actin complex, n actin monomers undergo “off”/“on” transitions as a unit. Interactions between units were ignored in order to estimate the apparent size n, as well as the equilibrium constant L for the transition in the absence of myosin heads. Within the framework of allosteric theory (Monod et al., 1965), we derived formulae fit for data analysis, found a satisfactory agreement of the experimental and theoretical results, and obtained values of n = 11, and L = 37 for the tropomyosin-actin complex, and n = 16, L = 9 for regulated actin in the presence of Ca 2+. The parameters in its absence could not be determined separately from the V−β relation which, however, was well-approximated with a combination of n = 16 and L = 10,000. It was also shown that tropomyosin-actin complex in the “on” state activated subfragment-1 ATPase eightfold more strongly than pure actin, and 2.2 to 2.6-fold more strongly than regulated actin in the “on” state. The results are compared with those provided by Greene & Eisenberg (1980), Hill et al. (1980) and Trybus & Taylor (1980) and discussed in conjunction with the double helical structure of tropomyosin-actin and regulated actin filaments. A simple allosteric calculation is presented in the Appendix to explain the well-known biphasic dependence on substrate concentration of the rate of regulated actin-subfragment-1 MgATPase (Bremel et al., 1972; Weber & Murray, 1973), with a reference to Deshcherevsky (1977).