Additional Sessions Judge A K Ravi issued the non- bailable warrant against Tripathi yesterday.
The case is registered with the Gautampalli Police Station in Lucknow.
An FIR was lodged by contractor Rishi Kumar Pandey on August 6, 2014 alleging that Amanmani and his friends had kidnapped him for ransom.
After investigation, the police had forwarded the charge sheet against Amanmani and Sandeep Tripathi.
According to government lawyer Abhai Tripathi, the case was fixed for framing of charges on Tuesday. While Sandeep was present in court, Amanmani was not.
Amanmani is the son of jailed politician Amar Mani Tripathi, who is in jail in connection with the poetess Madhumita Shukla murder case. Amanmani is also accused of killing his wife.