The plans, which include a 23,000-seat arena, training areas and a cross country course, received all-party consent at a public meeting held at Woolwich Town Hall yesterday (23 March).
Campaign group No to Greenwich Olympic Equestrian Events had also been rallying against the use of the space since Locog's plans were made public.
"This decision means we can concentrate on working with Locog, Royal Parks and other key stakeholders to deliver a spectacular event in 2012," said leader of Greenwich Council Chris Roberts.
"The planning application was subject to extensive consultation and generated a large number of responses. All this feedback has been carefully considered, and a number of planning conditions have been applied to address the issues that were raised.
"We will work closely with Locog to ensure these conditions are met and that we safeguard the Park and surrounding area to preserve its unique and special character."
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