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Topological magnon insulators are the bosonic analogs of electronictopological insulators. They are manifested in magnetic materials withtopologically nontrivial magnon bands as realized experimentally in aquasi-two-dimensional (quasi-2D) kagome ferromagnet Cu(1-3, bdc), and they alsopossess protected magnon edge modes. These topological magnetic materials cantransport heat as well as spin currents, hence they can be useful forspintronic applications. Moreover, as magnons are charge-neutral spin-${\bf 1}$bosonic quasiparticles with a magnetic dipole moment, topological magnonmaterials can also interact with electromagnetic fields through theAharonov-Casher effect. In this report, we study photoinduced topological phasetransitions in intrinsic topological magnon insulators in the kagom\'eferromagnets. Using magnonic Floquet-Bloch theory, we show that by varying thelight intensity, periodically driven intrinsic topological magnetic materialscan be manipulated into different topological phases with different sign of theBerry curvatures and the thermal Hall conductivity. We further show that, undercertain conditions, periodically driven gapped topological magnon insulatorscan also be tuned to synthetic gapless topological magnon semimetals withDirac-Weyl magnon cones. We envision that this work will pave the way forinteresting new potential practical applications in topological magneticmaterials

Photoinduced Topological Phase Transitions in Topological Magnon Insulators