If you're hoping to get lost in the rain on your romantic getaway, take a look at these details about year-round temperatures in Puri: The hottest months are usually May and April, with an average temperature of 30°C, while the coldest months are January and December, with an average of 24°C. The rainiest months in Puri are July, August, September and June, with each month seeing an average of 355 mm of rainfall.