Mobile　networks,　constructed　with　simple　linkages　by　tessellation,　have　great　application　potential　in　engineering　as　they　could　change　their　shapes　according　to　the　need　of　working　state　by　one　degree-of-freedom　(DOF).　However,　the　existing　one-DOF　networks　are　always　composed　of　bar-like　links,　and　cooperated　membranes　should　be　designed　and　fabricated　additionally,　which　makes　the　design　and　the　realization　more　complicated.　This　paper　is　to　construct　a　one-DOF　network　of　Bennett　linkages　with　identical　square　panels.　Geometric　conditions　to　construct　the　network　are　derived　by　investigating　the　kinematic　compatibility,　kinematics　is　carried　out　to　show　the　relationships　among　all　Bennett　linkages,　and　the　discussion　on　the　design　parameter　shows　the　extensibility　and　the　deploying　performance,　which　is　validated　by　two　physical　prototypes.　This　work　initials　the　construction　of　mobile　networks　with　identical　polygon-like　links,　which　will　simplify　the　fabrication　and　realization　of　deployable　structures.