The storm also hit the capital Delhi, more than 100km (62 miles) away, along with heavy rains late on Wednesday evening.
The official weather department, Indian Meteorological Department (IMD) forecast thunderstorm and squall for the next 48 hours (May 3-4).
It added that 65 have died in Agra, Bijnor, Saharnpur, Bareilly, Chitrakoot, Raebareli and Unnao districts of Uttar Pradesh. Officials said most of the deaths were due to collapsed homes. Winds gushing at a speed of 120 kilometres per hour affected the power supply of the city.
Last month, a similar storm killed at least 15 people in Uttar Pradesh and destroyed two minarets over an entry house to the Taj Mahal.
In neighboring Uttar Pradesh, the death toll stood at at least 64, with the vast majority of those deaths occurring in the city of Agra, where so far 43 have been confirmed dead.
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"I've been in office for 20 years, and this is the worst I've seen", Hemant Gera, secretary for disaster management and relief in Rajasthan, told BBC News. Some people were also reportedly injured or killed by lightning.
Most of the victims were hit by falling walls and trees.
Electricity connection in many areas was also severed as power lines and electricity poles were damaged.
The weather department had warned of dust storm, heat wave and light rains in different pockets of the state, reported NDTV.
The storm is the reason for massive and major destruction in Alwar where more than 100 trees were uprooted, several trees were fell on stationary vehicles which the snapped electricity cables too.