The local authority received the remainder of its Playbuilder funding to build 10 new play spaces across the borough by next spring. Previous funding paid for 12 areas.
A £1.1m programme would provide kit like climbing boulders, basket swings, rock stacks, aerial runways and embankment slides to complement natural environments, it said.
Leisure chief councillor John Smith said: "We are pleased to be able to deliver the second phase of the scheme. The first phase was completed earlier this year."
Councillor Mark Weldon, member for children and young people, said: "We are committed to a healthier, stronger borough, so it is great news we can create another 10 new play areas."
Last month the government slapped an immediate holding order on the £75m Playbuilder project before its spending review.
But it chose to cut, not kill, the scheme by lopping its budget by almost £21m.