The Qatar-based television channel said it had "unearthed new evidence" on the "brutal" death of the Palestinian-American, shot while covering an Israel army raid in Jenin in the occupied West Bank on May 11.
"My family still doesn't know who fired that deadly bullet and who was in the chain of command that killed my aunt," her niece Lina Abu Akleh told a press conference in The Hague.
"The evidence is overwhelmingly clear, we expect the ICC to take action," she said, adding that they had asked for a meeting with prosecutor Karim Khan.
The ICC, which was set up in 2002 as a war crimes court of last resort, last year launched a probe in the Palestinian territories.
But Israel is not an ICC member and disputes the court's jurisdiction.
The ICC prosecutor's office confirmed that it "has received the communication from Al Jazeera Media Network" but that it did not comment on individual submissions.
US opposes
The United States said Tuesday it opposed Al Jazeera taking the killing of Abu Akleh to the International Criminal Court, renewing objections to investigations involving Israel."We oppose it," State Department spokesman Ned Price told reporters.
