A case was filed against Mr Langah, who was chief of the Shiromani Akali Dal's Gurdaspur district unit, with Gurdaspur City police station after the woman, a widow, complained that he had been raping her since 2009.
Police sources said the woman attached a video clip along with her complaint to substantiate her claim. She alleged Mr Langah cheated her by selling her properties and extorted money from her.
Within hours of filing a case against him, the Akali leader said it was "a classic example of political vendetta perpetuated at the most political opportune moment when by-election to the Gurdaspur parliamentary constituency is nearing".
"The district police is hell bent on framing me in false cases to please political bosses. The complainant is an employee of Punjab Police. On the most bizarre and unbelievable allegations, in tearing haste, the FIR was registered within a few hours," Mr Langah said.
"The complaint itself was made to the SSP yesterday (Thursday). Enquiry marked, conducted within hours, and a report submitted. Even the opinion sought and given within a matter of minutes and in the wee hours of today (Friday) the false FIR has been registered," Mr Langah said.
Mr Langah said he had resigned from all party posts and from the membership of Shiromani Gurdwara Parbandhak Committee.
"I have full faith in judiciary. Therefore, I am submitting to the process of law by surrendering in the court tomorrow. I have firm belief that truth will come out and justice will be done to me," the former minister said.
Gurdaspur Senior Superintendent of Police Harcharan Singh Bhullar said an inquiry was marked into the complaint following which the ex-minister was booked.
The BJP, an alliance partner of the Shiromani Akali Dal, is trying to retain the Gurdaspur Lok Sabha seat that fell vacant following the death of actor and parliamentarian Vinod Khanna in April.