We　study　the　ground　state　of　the　two-qubit　squeezed　Rabi　model.　Two　special　transformations　are　found　to　diagonalize　the　system　Hamiltonian　when　each　qubit’s　frequency　is　close　to　the　field　frequency,　where　both　the　squeezing　and　counterrotating-wave　interactions　are　removed,　leading　to　an　effective　integrable　Hamiltonian.　The　analytical　ground　state　is　determined　and　matches　with　numerical　solutions　well　for　a　range　of　squeezing　strengths　and　qubit-field　detunings　in　the　ultrastrong-coupling　regime.　We　demonstrate　that　the　ground　state　exhibits　a　first-order　quantum　phase　transition　at　a　phase　boundary　linearly　induced　by　the　squeezed　light.　We　characterize　the　two-qubit　negativity　analytically　and　find　that　its　two-qubit　entanglement　increases　with　the　increasing　squeezing　strength　nonlinearly.　The　average　photon　numbers　of　the　field　mode　and　variances　of　position　and　momentum　quadratures　are　also　analyzed　and　discovered　to　have　a　nonlinear　relation　with　the　squeezing　strength.　Finally,　we　discuss　the　experimental　scheme　and　realization　possibility　of　the　predicted　results.　©　2024　Optica　Publishing　Group