The correlation curve between phosphorylation and MgATPase activity suggests that the 20,000-dalton light chain of both heads of a smooth muscle myosin or heavy meromyosin (HMM) molecule must be phosphorylated before the MgATPase activity of either head can be activated by actin. The two heads of HMM appear to be phosphorylated randomly at equal rates, while those of myosin are phosphorylated in a negatively cooperative manner (Persechini, A., and Hartshorne, D.J. (1981) Science, 213, 1383-1385; Ikebe, M., Ogihara, S., and Tonomura, Y. (1982) J. Biochem. 91, 1809-1812). We have investigated the cause of this difference between HMM and myosin. We find that if myosin is first phosphorylated at high ionic strength (0.6 M KCl), where it is monomeric, and then assayed for MgATPase activity (in 0.05 M KCl), the data support a model where the two heads are phosphorylated randomly with equal rates (i.e. similarly to HMM). The correlation curves between MgATPase activity and dephosphorylation of fully phosphorylated myosin, both in a filamentous and monomeric state, are also best explained by a model where dephosphorylation of one head is sufficient to deactivate the entire molecule. With monomeric myosin, the dephosphorylation appears to occur randomly with equal rates, whereas with filamentous myosin the dephosphorylation appears to be negatively cooperative. The correlation between dephosphorylation of HMM and its MgATPase activity is more complex and is consistent with a positively cooperative dephosphorylation. Direct analyses of the time courses of phosphorylation of HMM and monomeric myosin show that a single exponential is sufficient to fit the data through greater than 90% of the reaction. However, when phosphorylation is carried out at low ionic strength (0.02 M KCl), where myosin is present as filaments, the time course consists of two exponential functions where the rate constant for the phosphorylation of one myosin head is 6-10 times greater than that for the other head which is located on the same molecule. This suggests that when myosin is polymerized into filaments the two previously indistinguishable heads either become nonequivalent or are subject to head-head interactions leading to a negatively cooperative phosphorylation reaction.