Meteor Burst Communication (MBC) is different from traditional communications. It is a low data rate communication with characteristics of burst, discontinuity and unfixed timing. It is necessary to construct prediction model of MBC channel due to its complexities. The Sporadic Meteor Radiant Distribution (SMRD), the usable Meteor Rate (MR) and Duty Cycle (DC) are important factors impacting channel of the MBC links. SMRD varies with seasons and time, therefore it is very crucial to accurately predict the SMRD to change the direction of antennae and improve the data rate. Furthermore, the correct model of MBC channel can be constructed if MR and DC are accurately predicted. By investigating the development of the modeling of meteor radiant distributions, the geometry relationship of the heliocentric and the geocentric space of sporadic meteor is constructed. The theoretic prediction models of Meteor Burst Communication (MBC) channel parameters are derived. These models are applied in MBC links. The results predicted by these models have good agreement with observation data. The prediction models of these channel parameters given herein can be helpful to construct meteor communication system.