The other SP candidate Amir Alam's election to the Rajya Sabha was also a mere formality as the two SP candidates were the only ones in the fray for the two seats from the state.
Jaya and Amir Alam had filed their nomination papers on June one last.
Bachhan was earlier elected to the upper house on an SP ticket on July 4, 2003.
She was disqualified from Rajya Sabha on March 16 last after a petition was filed before the Election Commission stating that she held an office of profit in the form of chairperson of UPFDC.
The actress had resigned from the post days before filing her nomination papers for the Upper House.
Byelections for the two seats was scheduled for June 15.
The two seats had fallen vacant after the disqualification of Bachhan and the resignation of the Reliance group Chairman Anil Ambani (both SP members).