Sinha has served in various key posts in both the Government of India and the Government of Uttar Pradesh, such as Principal Secretary (Irrigation), commissioner of Varanasi division, Investment Commissioner of Uttar Pradesh, additional CEO of Greater Noida, additional resident commissioner of Uttar Pradesh, the district magistrate and collector of districts of Agra and Jaunpur, secretary of Uttaranchal Development Authority and as the vice chairman of Meerut Development Authority in the Uttar Pradesh government, and as the Cabinet Secretary of India, Union Power Secretary, Union Shipping Secretary, special secretary and financial advisor in the Ministry of Petroleum and Natural Gas, joint secretary in the Ministry of Youth Affairs and Sports in the Indian government.