  The aim of this paper is to derive a new uncertainty principle for the
generalized $q$-Bessel wavelet transform studied earlier in \cite{Rezguietal}.
In this paper, an uncertainty principle associated with wavelet transforms in
the $q$-calculus framework has been established. A two-parameters extension of
the classical Bessel operator is applied to generate a wavelet function which
is exploited next to explore a wavelet uncertainty principle already in the
$q$-calculus framework.
