Recently,　a　groundbreaking　advancement　known　as　multimode　photon　blockade　(MPB)　is　proposed　by　S.　Chakram　et al.　[Nature.　Phys.　18,　879-884　(2022)],　showcasing　its　ability　to　generate　multimode　W　states.　Inspired　by　their　work,　in　this　paper,　an　interesting　method　is　proposed　to　investigate　MPB　by　engineering　the　eigenstates　of　the　system　Hamiltonian,　which　is　defined　as　the　reverse　design　method.　It　is　demonstrated　that　an　entangled　state　is　created　with　a　certain　probability　by　sharing　a　single　photon　between　two　coupled　Kerr-nonlinear　cavities.　This　entangled　state　in　the　two-coupled　cavities　blocks　the　creation　of　the　subsequent　photons.　The　system　is　in　a　superposition　of　only　the　entangled　state　and　the　vacuum　state.　And　the　photon　blockade　(PB)　exists　in　two　cavities　simultaneously.　The　reversed　design　method　can　also　be　utilized　to　study　MPB　in　three　coupled　cavities　with　Kerr　nonlinearities　by　creating　a　three-qubit　W state.　©　2024　Wiley-VCH　GmbH.