Two fluorescent derivatives of human fibrinogen have been synthesized, by the covalent bonding of 1-dimethylaminoaphthalene-5-sulphonyl and methylpyrene chromophores, to investigate the internal molecular dynamics of the protein in solution. The stationary fluorescence depolarization of these derivatives under isothermal conditions is described here while in an accompanying paper (part II) a time-resolved study is reported. From the static fluorescence data it is concluded that reorientational processes in the subnanosecond and microsecond time ranges account for all the observed depolarization. The faster motion was assigned to the restricted, localized oscillations of the label while the slow motion was ascribed to the overall rotation of the protein molecule. Consequently, the protein in solution appears considerably rigid in the 10-1000 ns range, in contrast with a previous conception of a flexible fibrinogen based on non-isothermal depolarization experiments. These previous experiments are, in fact, concordant with the rigid fibrinogen proposed here if they are reinterpreted using Weber's early ideas on thermally activated depolarization (G. Weber, J. Biochem. 51 (1952) 145).