  In this paper, we study the holographic models of s-wave and p-wave
Josephoson junction away from probe limit in (3+1)-dimensional spacetime,
respectively. With the backreaction of the matter, we obtained the anisotropic
black hole solution with the condensation of matter fields. We observe that the
critical temperature of Josephoson junction decreases with increasing
backreaction. In addition to this, the tunneling current and condenstion of
Josephoson junction become smaller as backreaction grows larger, but the
relationship between current and phase difference still holds for sine
function. Moreover, condenstion of Josephoson junction deceases with increasing
width of junction exponentially.
