The dependence of the exciton annihilation rate on the dynamic interaction between excitons in molecular crystals is studied.The equation of motion for the two-particle density matrix of incoherent excitons is used to obtain an expression for the annihilation rate constant in one-, two-, and three-dimensional crystals. It is shown that the interaction between excitons may considerably affect the annihilation rate and its temperature dependence, and that the contribution of exciton+xciton interaction to the annihilation process depends on the dimensionality of the system in which the excitons move. B pa6o~e HCCJIenyeTCR 3aBHCHMOCTb CKOPOCTEl BKCEITOHHOfi aHHHrHJIRqHH B MO-JIeKyJIHpHbIX KpHCTaJIJIaX OT BeJIkl ¶klWI AHEaMEIreCKOrO B3aHMOAe&CTBEIR MeXAy 3KCHTOHaMH. Ha OCHOBe YpaBHeEEIP AJIR MaTpElIlbI IIJIOTHOCTEI HeKOrepeHTEbIX 3KCHTOHOB (IIpbIXKOBaR MOAeJIb ABEIXeHHR), HafiAeHO BbIpaXeHkIe AJIR KOHCTLIHTbI B3Ei HMOAe&CTBHe MeXAy BKCEITOHBMH MOXeT CyUeCTBeEHO ll3MeHEITb CHOpOCTb aHEEi~ElJI~~ElEi €3 ee TeMIIepaTypHyIO 3aBHCEIMOCTb , a XapaKTep IIpORBJIeHHH BKCH-TOH-3KCEITOHHOrO BaaEiMOAefiCTBMR B aEEklrEIJIH~HH 3aBkICHT OT pa3MepHOCTH CEICTBMH, B KOTOPOfi IIPOHCXOAHT ABHmeHHe BKCEITOHOB. CKOPOCTEI aHHHrmauuEi B OAHO-, HBYX-H TpewlepHoM KpIicTanne. I l o~a s a~o , TO