The capital city Jaipur recorded a low of 9.5 degrees Celsius.
The night temperature in Pahalgam tourist resort in south Kashmir settled at a low of minus 13.4 degrees Celsius.
The demand for room heaters is higher than the normal winter sales, according to retailers.
The cold spell, which gave the national capital some of its coldest December days in recent memory, continues to be at bay at the turn of the year.
Delhi Traffic Police issued an advisory for motorists expecting foggy days.
The cold wave which had started in the last week of December 2019, is expected to continue along the first week of January 2020.
Muzaffarpur had recently witnessed the deaths of more than 150 children because of a vector disease similiar to acute encephalitis in 2019.
IMD Hyderabad officials said that the cold wave conditions in northern Telangana districts is because of the cold wave in north India.
The situation is the worst in Kohima where the lowest temperature recorded this year was 3 degree Celsius.
In Haryana, minimum temperatures have been hovering close to the freezing point at some places, while day temperatures too have been settling in the range of 10-13 degrees Celsius at most places.
The temperature has dipped to below 2 degrees Celsius in some parts of Delhi and 1 degree Celsius in Shimla, and touches even minus 2 degrees Celsius at some point of the night.
The Odisha Government on Friday issued cold wave alert for six districts in the next two days and asked collectors to take appropriate measures to protect people from the chill.
Around nine toddlers in different districts contracted pneumonia due to sweeping cold wave conditions.
About 25 trains were delayed due to dense fog in several parts of northern India.
A minimum temperature of 5.4 degrees Celsius was recorded in Palam on Christmas, the India Meteorological Department (IMD) had said.