  Let $K$ be an imaginary quadratic field with class number 1, in this paper we
obtain the functional equation of the $p$-adic $L$-function of: (1) a small
slope $p$-stabilisation of a Bianchi modular form, and (2) a critical slope
$p$-stabilisation of a Base change Bianchi modular form that is
$\Sigma$-smooth. To treat case (2) we use $p$-adic families of Bianchi modular
forms.
