While Ms Kumar, the joint opposition candidate, would arrive in Hyderabad tomorrow, Mr Kovind's visit is scheduled for Tuesday.
During her day-long visit, Ms Kumar would meet Congress leaders at Gandhi Bhavan, Telangana Congress headquarters, followed by a media conference, according to her schedule released by the party.
The former Lok Sabha Speaker would garland a statue of her father late Jagjivan Ram and interact with MPs, MLAs and MLCs, Left party leaders, senior journalists and intellectuals.
After their nomination last month, Ms Kumar and Mr Kovind have been visiting various states as part of their campaign for the top constitutional post.
Mr Kovind, on the other hand, would visit Hyderabad on July 4, Telangana BJP spokesperson Krishna Sagar Rao said.
During the day-long visit, he is expected to meet MPs and MLAs of the ruling TRS, opposition BJP and Telangana TDP.
While the TDP is a constituent of the NDA, the TRS has announced support for Mr Kovind's candidature.