Officials said the agency has asked Shah to depose before the investigating officer of the case in New Delhi on June 6.
The ED had issued a similar summons to Shah on May 25 but he had failed to keep the date. Fresh summons have now been issued to Shah, they said.
The central probe agency has issued several summons to Shah over the last few years in pursuance of the August 2005 case wherein the Delhi Police's Special Cell had arrested 35-year-old Mohammed Aslam Wani, an alleged hawala dealer, who had claimed that he had passed on Rs 2.25 crore to Shah.
Shah has never kept the dates with ED.
He has, in the past, told PTI that the ED case against him was "politically motivated".
The ED had registered a criminal case under the Prevention of Money Laundering Act (PMLA) against Shah and Wani.
Wani was arrested allegedly with Rs 63 lakh, received through 'hawala' channels from the Middle East, and a large cache of ammunition on August 26, 2005.
During questioning, he had told the police that Rs 50 lakh was to be delivered to Shah and Rs 10 lakh to Jaish-e- Mohammad terrorists in Srinagar, Abu Baqar, and the rest was his commission.
Wani, who hailed from Srinagar, had also claimed that he had delivered around Rs 2.25 crore to Shah and his kin in multiple instalments over the past year.
The ED, sources said, wants to probe the "proceeds of crime" of alleged terror financing in this case.