A bench of Justices Gita Mittal and Anu Malhotra also issued show cause notices to all the accused asking why the case against them be not re-tried.
The suo motu directions to reopen the cases were issued after perusing the trial court records regarding the acquittal in those cases.
The trial court records were placed before the high court by the CBI during hearing of another 1984 riot case in which the acquittal of Congress leader Sajjan Kumar has been challenged by the agency.
It directed Delhi Police to investigate the matter and fixed the matter for April 20, asking the complainants to appear before the court.
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The bench issued notice to various accused, including ex-councillor Balwan Khokkar, former MLA Mahender Yadav and Ved Prakash.
It noted that in some cases complaintants were not issued summons and in the rest, the summons were sent to the addresses where houses were burnt during riots and therefore, could not be served.