The video, which was leaked to TMZ, showed Solange Knowles lashing out at Jay-Z in an elevator after the Met Gala on May 5.
“Jay and Solange each assume their share of responsibility for what has occurred,” said a joint statement.
“They both have apologized to each other and we have moved forward as a united family.”
New York’s Standard Hotel employee who leaked the footage has been identified and fired, it emerged on Thursday.
The Standard Hotel said it was “shocked and disappointed” by the leak and said it would it would hand over “all available information to criminal authorities”.
The employee was fired for “breaching the security policies of the hotel and recording the confidential CCTV video,” it added.
The three-minute video shows Solange Knowles entering the elevator with Jay-Z, Beyonce and their entourage.
Solange Knowles then confronts Jay-Z, whose wife stands by without interfering.
A bodyguard holds Solange back, although she again tries to kick Jay-Z. There is no audio on the recording.
The full statement was released by the family to the Associated Press.
The statement reads: “As a result of the public release of the elevator security footage from Monday, May 5th, there has been a great deal of speculation about what triggered the unfortunate incident.
“But the most important thing is that our family has worked through it. Jay and Solange each assume their share of responsibility for what has occurred.
“They both acknowledge their role in this private matter that has played out in the public. They both have apologized to each other and we have moved forward as a united family.
“The reports of Solange being intoxicated or displaying erratic behavior throughout that evening are simply false.
“At the end of the day, families have problems and we’re no different. We love each other and above all we are family. We’ve put this behind us and hope everyone else will do the same.”
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