If you’re hoping to get lost in the rain on your romantic getaway, check out these details about year-round temperatures in Puri: The hottest months are usually May and April with an average temp of 85°F, while the coldest months are January and December with an average of 76°F. The rainiest months in Puri are July, August, September, and June, with each month seeing an average of 14 inches of rainfall.