McLaren had until 1500 GMT Friday to lodge an appeal over the decision by world motorsport's governing body, the FIA.
"We accept things as they are. All our attention is now exclusively focused on the sport and the last three races of the season," said Norbert Haug, Mercedes' vice-president of sporting activites.
"We want our two drivers to be in the first two positions of the drivers' championship at the finish of the last Grand Prix of the season in Brazil."
McLaren's decision not to appeal the decision means Ferrari have won the 2007 Formula One constructors championship over BMW Sauber which can't make up the 71 points difference with the last three Grand Prix of the season in Japan, China and Brazil.
"Scuderia Ferrari have a won the world constructors championship 2007, its 14th title in this competition and seventh over the past nine years," Ferrari said in a statement.
On September 13 the FIA fined McLaren 100 million dollars and threw the British team out of the 2007 constructors' championship for gaining a competitive advantage from secret information leaked to them by ex-Ferrari engineer Nigel Stepney.
The two McLaren drivers Lewis Hamilton and Fernando Alonso, in first and second respectively in the drivers championship, were allowed to continue to compete.

Copyright AFP (Agence France-Presse), 2007