BEIJING, Sept 20 (Reuters) -Prices of copper rose for a third straight session and were set for a weekly gain as the demand outlook for the metal brightened after the outsized U.S. interest rate cut and on hopes of stimulus from top consumer China.

Three-month copper on the London Metal Exchange CMCU3 climbed 0.5% to $9,564.50 per metric ton by 0215 GMT, close to a two-month high it hit in the previous session.

The contract has risen 3.3% so far this week.

The most-traded October copper contract on the Shanghai Futures Exchange SCFcv1 was 1.3% higher at 75,870 yuan ($10,751.03) a ton.

The U.S. central bank kicked off its monetary easing cycle on Wednesday with a larger-than-usual half percentage point reduction, lifting global risk assets.

Also supporting sentiment were expectations of further stimulus by China to revive its economic growth as the Fed's easing offers Beijing leeway to loosen monetary policy without unduly hurting the yuan.

That was despite China unexpectedly leaving benchmark lending rates unchanged at the monthly fixing on Friday.

LME aluminium CMAL3 dipped 0.1% to $2,536 a ton, zinc CMZN3 increased 0.2% to $2,935, nickel CMNI3 rose 0.5% at $16,415, lead CMPB3 climbed 0.6% to $2,087.50 and tin CMSN3 moved 1.2% higher to $32,200.

SHFE aluminium SAFcv1 rose 0.4% to 20,045 yuan a ton, nickel SNIcv1 added 1.1% to 125,800 yuan, zinc SZNcv1 gained 1.1% to 24,200 yuan, lead SPBcv1 ticked up 1.4% at 16,635 yuan and tin SSNcv1 moved 2.1% higher to 261,480 yuan.

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($1 = 7.0570 Chinese yuan)

Reporting by Siyi Liu and Mei Mei Chu; Editing by Mrigank Dhaniwala

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