Magneto-optical　(MO)　glasses　with　a　high　Verdet　constant　and　a　wide　transparency　window　are　of　fundamental　significance　for　multifunctional　applications.　However,　the　Faraday　effect　can　be　affected　by　the　effective　content　and　valence-state　variation　of　rare-earth　ions.　Herein,　a　strategy　of　introducing　Ce2O3　to　rationally　reduce　part　of　Tb4+　to　Tb3+　and　using　a　levitation　technique　to　embed　high-content　paramagnetic　ions　into　glass　is　proposed　herein　to　improve　the　MO　response.　Tb2O3/Ce2O3-codoped　glasses　with　different　Tb2O3　contents　are　characterized　by　good　thermal　properties　(T-g　＞=　778.4　degrees　C),　large　Faraday　effect,　high　density　(rho　＞=　6.7496　g/cm(3)),　physical　stability,　and　transmittance.　Typically,　the　glasses　are　highly　transparent　over　a　wide　spectral　window　such　that　the　transmittances　at　633　and　1064　nm　can　also　exceed　74%.　Moreover,　the　obtained　MO　glasses　incorporated　with　high　Tb2O3　contents　exhibit　remarkably　high　Verdet　constants　at　25　degrees　C　ranging　from　-198.8　+/-　14.6　to　-202.6　+/-　13.6　rad/(Tm)　at　633　nm,　-68.5　+/-　4.3　to　-77.4　+/-　1.1　rad/(Tm)　at　1064　nm,　and　-14.7　+/-　1.1　to　-15.1　+/-　0.7　rad/(Tm)　at　1550　nm,　exceeding　the　values　of　the　commercial　Tb3Ga5O12　crystal.　Measurements　of　the　extinction　ratio,　valence　state　of　Tb　element,　and　local　glass　structure　are　also　carried　out　and　discussed　in　detail.　The　results　suggest　that　the　glasses　are　promising　candidates　in　particular　for　designing　innovative　MO　devices　for　potential　multiband　applications.