The meson-meson scattering term has been investigated within the static approximation for a nucleon. First a static Hamiltonian is constructed from the renormalizable covariant meson theory in a manner similar to that proposed by one of the present authors. Improvements are that the meson-meson scattering term is included besides the pseudoscalar-pseudoscalar coupling term and that an argument is presented to show that the Foldy transformation is the unique one generating a valid static Hamiltonian, though it was left undetermined before. The resulting static Hamiltonian is then analyzed, for the cases of low-energy S- and P-wave pion-nucleon scattering and threshold photomeson production, in terms of the one-meson approximation of the Chew-Low-Wick formalism, without recourse to perturbation expansion. It is shown in particular that the meson-meson scattering term modifies the Chew-Low effective range plot of the δ33-phase shift, making the renormalized P-wave coupling constant smaller than the conventional plot gives, for a positive coefficient of the meson-meson scattering term in the Hamiltonian. Empirical values of the coupling constant determined through the conventional Chew-Low plot and threshold photomeson extrapolation are shown to be interpretable in terms of the renormalized P-wave coupling constant of 0.08 and the meson-meson scattering term with a coefficient of ~+4 (ℏ=c=1). The present treatment of threshold photoproduction of mesons, however, does not agree with the relativistic dispersion relation. General features of the static model resulting from the ps-ps meson theory are summarized in the final section, together with the conclusions obtained. The effects of strange particles and of renormalization have been neglected.