Special CBI Magistrate Shantanu Kumar Deshlahre granted relief to the scribe after he submitted a bond of Rs 1 lakh and a guarantee of equal amount as directed by the court.
Verma was arrested by the Chhattisgarh Police from Ghaziabad in Uttar Pradesh on October 27.
"The court accepted Verma's plea for bail which he submitted in the court yesterday under the section 167 (II) of the CrPC," said Verma's lawyer Faisal Rizvi.
Verma was arrested by Raipur Police during investigation after a case of blackmailing and extortion was registered at the Pandri police station in Raipur in October on a complaint lodged by BJP leader Prakash Bajaj.
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Bajaj had alleged that he "was being harassed over phone by an unidentified caller", who told him that he had a CD of his "aka" (master).
The police had claimed to have recovered 500 CDs and some pen drives from Verma's residence.
After his arrest, the "sex CD", allegedly involving state Public Works Department Minister Rajesh Munat, surfaced in Raipur, triggering a political storm with the ruling BJP and opposition Congress targeting each other on the issue.
On recommendation of the state government, the CBI took over the investigation of two cases related to the circulation of the CD and questionned Verma in the Raipur Central Jail on December 20.