If you are new to coyote hunting, you may ask what time of year these wiley critters are most active. Most seasoned predator hunters are going to point you to the breeding season. Depending on your location, this generally lands between the months of January and March. During this breeding period, coyotes are actively searching out mates. Once paired up, they will become increasingly territorial and protective of their home range to ensure they can safely raise their offspring after their very short gestation period of about 60 days.