Vimala Maken, a retired additional district judge who had been appointed as the local commissioner in the case, to proceed on day-to-day basis with the recording of evidence in the matter.
The local commissioner would initiate the proceedings from January 21, the court said.
Tiwari's DNA report had been read out by a single-judge bench of the high court after a division bench dismissed his appeal against the single judge's July 19 decision, concurring with the latter's order that the report cannot be kept confidential.
A former Andhra Pradesh governor, Tiwari earlier had made a plea to the single judge for keeping DNA report confidential and holding in-camera proceedings in the case, saying the Supreme Court had given such a direction on May 24.
The single judge had dismissed Tiwari's plea against making public his DNA report saying the apex court's order to maintain confidentiality was for the purpose of collection of his blood sample for the DNA test and the transmission of the report to the high court but not for the purpose of trial.
Tiwari had given blood sample for the DNA test on May 29 at his residence in Dehradun following the apex court's order in the case, after repeatedly contesting against undergoing the test on various grounds.
Tiwari's pleas had been objected to by 32-year-old Rohit Shekhar, who had filed the paternity suit in 2008, claiming the veteran Congress leader to be his biological father. Tiwari had refuted Shekhar's claim.
The court, meanwhile, also directed Tiwari to submit within four weeks a demand draft of Rs 46,000, which was imposed on him as cost during an earlier proceeding.
The high court on July 27 last year had read out the DNA report in the case as per which Tiwari was shown as Shekhar's biological father.
N D Tiwari is biological father of Rohit Shekhar : HC
Rohit Shekhar's childhood with 'dad' ND Tiwari
ND Tiwari finally gives blood sample in paternity case
HC rejects ND Tiwari's plea to keep his DNA report secret
I sympathise with Rohit, no grudges: ND Tiwari