"Both of us will file our nominations anytime after 11 am," Singh told PTI over phone.
He said they would reach here from Delhi to file their nominations.
The Election Commission had earlier notified the bye-election to the Council of States from Haryana. As per the schedule, the last date for filing nominations is November 25. Polling, if required, will be held on December 5 and the results will be declared on the same day.
Birender Singh was earlier a Rajya Sabha member of Congress from Haryana but quit his seat to join the BJP ahead of assembly elections in the state.
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The bye-elections were necessary as the seats had fallen vacant after Birender Singh resigned from his seat on August 28 and Ranbir Singh of Indian National Lok Dal (INLD) quit on November 1 after being elected to the assembly from Nalwa seat.
This will help the party to further raise its strength in the Upper House where it does not enjoy a majority. BJP at present has only 43 seats in Rajya Sabha.
The terms of the two Ministers will be till August 1, 2016.