  Motivated by Guo-Luo's generalized circle packings on surfaces with boundary
\cite{GL2}, we introduce the generalized Thurston's sphere packings on
3-dimensional manifolds with boundary. Then we investigate the rigidity of the
generalized Thurston's sphere packings. We prove that the generalized
Thurston's sphere packings are locally determined by the combinatorial scalar
curvatures. We further prove the infinitesimal rigidity that the generalized
Thurston's sphere packings can not be deformed while keeping the combinatorial
Ricci curvatures fixed.
