"We are dropping the suit in full and requesting to close the proceedings", a representative of the plaintiff said.
Unijet, the operator of Dassault Falcon 50, was seeking compensation of 6.7 million euros ($7.6 million) for the fatal crash. Vnukovo said in October that the dispute had been settled by insurance companies.
The company demanded the compensation for a jet crash that had occurred on 20 October 2014 at Moscow's Vnukovo-3 Airport, killing Total CEO Christophe de Margerie. The incident happened when the aircraft, which was to fly to Paris, hit a snow removal vehicle when taking off. The three crew members also died in the crash.