Andhra Pradesh reported 313 more deaths due to sunstroke during last 24 hours while 100 more succumbed in Telangana.
With this the toll in the two Telugu states rose to 1,774. While Andhra Pradesh accounted for 1,334 deaths, 440 people died in Telangana, officials said.
Four deaths due to sunstroke were reported from West Bengal and one from Bihar, in addition to two from New Delhi on Wednesday.
According to unofficial sources, two dozen people have died in Bihar.
The Indian Meteorological Department (IMD) has warned that the heat wave conditions will continue at few places in Odisha, Vidarbha, Jharkhand and Telangana and at isolated places over Madhya Pradesh, Chhattisgarh and coastal Andhra Pradesh over next two days.
It has also forecast rain/thunder showers at most places in the northeast and at a few places in Jammu and Kashmir, Karnataka, Tamil Nadu and Puducherry.
No respite from the blistering heat was in sight in Andhra and Telangana as both states sizzled with the highest temperature of 47 degrees Celsius.
Khammam and Nizamabad in Telangana recorded 47 degree Celsius, as did Nandigama and Ongole in Andhra Pradesh.
According to the Meteorological Centre in Hyderabad, though rains brought the temperature down in some parts of coastal Andhra and Rayalaseema, severe heat wave conditions continued in the state.
The heat wave paralysed life in Rajasthan, which continued to reel under heat wave conditions on Thursday, with the maximum temperature hovering between 40 and 45 degrees Celsius.
The temperatures in some places, including state capital Jaipur was higher by 3-4 degree Celsius above the average.
Jaipur was hot at 44.7 degrees Celsius, four degrees above average, while Bundi and Kota were sizzling at 45.5 degrees and 45.4 degrees Celsius.
"The heat wave is likely to prevail in some places in Rajasthan in the next 24 hours. Jaipur will see partly cloudy skies with the possibility of a dust storm. The maximum and minimum temperatures will be around 44 degrees and 28 degrees respectively in Jaipur in next 24 hours," a weather department official told IANS.
The hills of Himachal Pradesh experienced warm weather, with Una town recording a high of 43.2 degrees Celsius.
"Temperatures soared due to the dry spell. Shimla recorded a maximum temperature of 28.5 degrees Celsius, four degrees above normal (average) for this time of the year," a meteorological department official told IANS.