  In this work, we systematically study the $\phi$ meson and nucleus
interaction by analyzing and fitting the cross sections of $\gamma
N$$\rightarrow \phi$$N$ ($N$ represent the nucleus) reactions near the
threshold. With the help of vector meson dominant model, the distribution of
$\phi$-$N$ scattering length as a function of energy is presented, and the
results show that there is a slight increase in scattering length with
increasing energy. Based on this, the average scattering length of
$\phi$-proton is obtained as $0.10\pm0.01$ fm by combining experimental data
and theoretical models. Moreover, the average scattering length of
$\phi$-deuteron interaction is derived to be $0.014\pm0.002$ fm for the first
time. Further, the effect of the momentum transfer $|t_{min}|$ on the
$\phi$-$N$ scattering length at the threshold is discussed. The obtained
results not only provide important theoretical information for a more
comprehensive and accurate study of the $\phi$-$N$ scattering length, but also
provide a basis for future experimental measurements of $\phi$ meson
production.
