In　this　paper,　the　higher　energy　levels　of　the　transmon　qubit　are　taken　into　consideration　to　investigate　the　continuous　variable　entanglement　generation　between　the　transmon　qubit　and　the　single-mode　cavity.　Based　on　the　framework　of　cavity　Quantum　Electrodynamics　(QED),　the　authors　show　the　entanglement　generation　depends　on　the　driving　field　intensity,　coupling　strength,　cavity　field　frequency,　and　qubit　frequency.　The　numerical　results　show　that　strong　entanglement　can　be　generated　by　properly　tuning　these　parameters.　It　is　hoped　that　the　results　presented　in　this　paper　may　lead　to　a　better　understanding　of　quantum　entanglement　generation　in　cavity　QED　systems　and　provide　new　perspectives　for　further　research　in　quantum　information　processing.　©　2024　Wiley-VCH　GmbH.