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We study pumping of magnons to the Dirac points of magnon's Brillouin zone ofa ferromagnet on a honeycomb lattice. In particular, we consider second-orderSuhl process, when due to interaction between magnons, a pair of magnons iscreated due to absorption of two electromagnetic wave quanta. We introduce abosonic analog of the Cooper ladder for the magnon pair, which is shown toenhance the pairing of magnons at the Dirac points. As a result of pairing ofthe Dirac magnons, the system becomes unstable towards formation of a magneticstate with zero or reduced magnetization - the Dirac magnon paired state. Inthis case the resonant frequency of the pump equals to that of energy of theDirac points. Our estimates suggest that the Dirac magnon paired state can befound in the CrBr$_{3}$ or CrCl$_{3}$ ferromagnet below in vicinity of theCurie temperature.

Dirac magnons pairing via pumping