He had alleged that former Lok Sabha MP DP Yadav was behind this attack. DP Yadav's son Vikas is behind bars in the Nitish Katara murder case.
According to the FIR, Ajay claimed the unidentified men had tried to crush him under the wheels of a dumper.
Police said Ajay was returning to his home in Sahibabad on Wednesday night when a loaded dumper began to trail his car from near Ashok Vatika.
The dumper hit his car from behind, they said, adding that the driver then threatened to kill Ajay when he confronted him.
The driver managed to flee from the spot, they said.
Ajay's lawyer Khalid Khan said his client sustained injuries in the Wednesday night's incident.
Police have registered a case against unknown person under various sections of IPC including the one related to attempt to murder.
Vikas Yadav was convicted in 2008 along with his cousin Vishal for kidnapping and murdering Nitish.
The two had killed Nitish on February 17, 2002 after kidnapping him from a marriage party in Ghaziabad as they were opposed to his relationship with their sister Bharti.