Ten people were killed in rain-related incidents in the state capital and two in Dausa district.
Prime Minister Manmohan Singh took stock of the situation by calling up Rajasthan Chief Minister Ashok Singh Gehlot over phone, a state government spokesperson said.
"Chief Minister Ashok Gehlot brought to his knowledge that there is no flood like situation in the state and about ten places have received more than 200mm of rainfall," he added.
According to the state government spokesperson, the chief minister of the state will also review the rainfall and rescue work at a meeting on Wednesday.
In Gulabi Nagar, Jaipur, many people have been sent to safer areas following the heavy downpour. Till Wednesday morning, Jaipur has received 300mm of rains, the Met department said.
According to District Collector (South), Jaswant Singh, due to the incessant rains, in low-lying city areas like Jawahar Nagar, Ajmer Road and Durga Colony, water entered into houses and residents were evacuated to nearby schools.
Official sources said that 10 people, including a couple, have been killed due to the rains in Jaipur and two have died in Dausa's Mahaba area in a house collapse.
Schools and colleges have been shut till the situation improves, the sources said.