Perth couple Anthony Maslin and Marite Norris lost their children Evie, 10, Mo, 12, and Otis, 8, along with their grandfather on the Boeing 777 which was shot down over Ukraine in 2014.
The airline said in a statement it has reached "an amicable and confidential settlement with the Maslin family and therefore the suit has been withdrawn".
It said it would not "disclose any further details on this suit or about the details of the settlement in respect to the privacy of the family".
A lawyer representing families of six Malaysia Airlines crew members on MH17 told AFP the airline had offered to settle for an undisclosed amount in June last year, but the families had rejected the proposed sum.
"There was another offer in January and we're still considering," lawyer Saw Wei Siang said Tuesday.
The Malaysian lawsuit in June last year came two weeks after a suit by 33 next-of-kin from Australia, New Zealand and Malaysia was filed against Russia and against President Vladimir Putin in the European Court of Human Rights.
A Dutch-led criminal investigation into the attack concluded in September last year that a BUK missile, transported from Russia, was fired from a field in a part of war-torn Ukraine then controlled by pro-Russian rebels, and hit the plane.
But it stopped short of saying who pulled the trigger.
The Dutch-led investigation did not directly accuse Moscow of supplying the BUK missile and its transporter system -- and the Russian government has repeatedly denied any involvement.
In its statement the airline said "it has always been its priority that all next-of-kin are fully compensated fairly and equitably... And this is not in any way tantamount to an admission of liability of guilt".
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