He was 84.
Chaturvedi breathed his last around 3 am at the private hospital where he was shifted recently, the spokesman said.
Chaturvedi, a strong RSS man, was the PWD and Medical and Health Minister during the BS Shekhawat (former vice president) government. During Vasundhara Raje's first term, he was nominated to Rajya Sabha representing Rajasthan.
In his condolence message, BJP State President Ashok Parnami said the party has lost a dynamic leader who enabled the party to stand up and make its stronghold during the Shekhawat regime.
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Chaturvedi has left behind his four sons and three daughters.
Governor of Rajasthan Kalyan Singh condoled the death of Chaturvedi saying he was an outstanding personality in politics and a great parliamentarian.
A flower wreath was placed beside the body of Chaturvedi on behalf of the Governor, a Raj Bhawan release said.