Anton Abu Akleh, brother of the late colleague Sherine, and his daughter Lina met with US Secretary of State Anthony Blinken at the US State Department in Washington.
The meeting, which came at the request of the American side, comes after an assessment of the American security coordinator, which concluded that unintentional Israeli shooting may be responsible for the killing of Shireen Abu Aqleh on May 11, while she was covering an Israeli incursion into the Jenin refugee camp in the northern occupied West Bank.
This conclusion was rejected and condemned by Shirin's family, who vowed to continue demanding justice for her murder.
Anton Abu Aqleh told Al Jazeera that the family demanded, during the meeting with Foreign Minister Blinken, that Washington reconsider the report of the American security coordinator, and renewed the demand for an investigation into the assassination of Shirin.
He added that the family requested a communication channel with the US State Department to review the investigation into Sherine's killing, stressing their rejection of any attempt to close the file.
For his part, US State Department spokesman Ned Price said in a regular press briefing that Blinken met with the family and reiterated the need for accountability in connection with the incident.
Sherine's family had accused the United States of helping Israel escape punishment for her murder, and she requested to meet with US President Joe Biden during his visit to Israel earlier this month, but she was not allowed to do so.
Official Palestinian and factional parties also condemned the American conclusions from the assassination, and saw in them an expression of American bias towards Israel, stressing that Israel is responsible for the crime.
Earlier, an investigation by Al-Jazeera revealed a photo of the bullet that was assassinated by colleague Shireen Abu Aqleh, and military experts indicated that the bullets used were of the armor-piercing type.
Other investigations - carried out by the media and international bodies - showed a result identical to the investigation carried out by Al Jazeera, and concluded that Shireen Abu Aqleh was killed by Israeli bullets.