Justice Pratush Kumar of the Lucknow bench also turned down the plea of co-accused Vikas Verma.
Additional advocate general V K Sahi argued that the accused had gang raped a Chitrakoot woman and also tried to forcibly make physical relations with her minor daughter and, hence, the matter was very serious.
A sessions court had earlier allowed them bail but the HC had cancelled it as the prosecution was not given ample time to oppose the plea.
Prajapati, who was a minister in the previous Akhilesh Yadav Government in Uttar Pradesh, was arrested on March 15.
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