* Oil rises to $138 a barrel
* Iran denies Israel attack
* European shares down more than 1 percent, U.S. set for poor start
* Yen weak against both dollar and euro
By Jeremy Gaunt, European Investment Correspondent
LONDON, June 24 (Reuters) - European stocks fell sharply and oil firmed on Tuesday on rumours of an attack by Israel on an Iranian nuclear facility, prompting a denial by Iran.
Wall Street looked set for a lower start.
Oil, which was already under pressure from supply concerns, rose to $138 a barrel, European shares fell more than 1 percent and the safe-haven Swiss franc hit session highs against the dollar and yen.
"There was a rumour ... that the Israeli air force had launched an attack on Iranian nuclear facilities," said one foreign exchange trader, echoing several traders in energy, equity and fixed income markets across Europe.
An Iranian official in Iran, however, said there had been no attack.
"This is just a rumour. No attack against Iran's nuclear facilities has taken place," the official told Reuters.
The rumour reflected nervousness about growing tensions in the Middle East, including a weekend report that the Israeli military may have been practising for an attack.
Crude oil was up $1.13 a barrel at $137.86, also pressured by a strike in oil producer Nigeria.
Europe's FTSEurofirst 300 <
> stock index lost as much as 1.7 percent before recouping some losses to stand down 1.2 percent.Stock investors were also in cautious mood ahead of a U.S. Federal Reserve decision on interest rates later in the week. Policymakers are expected to keep rates unchanged at 2.0 percent, but recent hawkishness about inflation is in focus.
Earlier, Japan's Nikkei stock average ended flat.
"Oil prices are stuck not far off their highs and U.S. financial shares are stuck at lows. There's no financial meltdown, that's over, but there's still a lot of worries," said Koichi Ogawa, chief portfolio manager at Daiwa SB Investments.
The benchmark Nikkei <
> ended down 0.1 percent at 13,849.56, the lowest close since May 28. The broader Topix < > was up 0.1 percent at 1,349.19.
WEAK YEN
Japan's yen was an active mover on the day, falling against both the dollar and euro on a combination of increased risk appetite, weak Japanese corporate surveys and interest rate differentials with the United States and Europe.
"Yen weakness seems to be driven by talk of strong retail outflows from Japan into overseas assets," said Adam Cole, global head of FX currency strategy at RBC Capital Markets.
The euro hit an 11-month high against the yen, rising as far as 168.26 yen according to Reuters data, its strongest since July 2007 <EURJPY=>. It was later at 167.95 yen.
The dollar <JPY=> also gained against the yen, up 0.1 percent to 107.92 yen, but was down on the euro. The euro <EUR=> brought $1.5556.
The safe-haven Swiss franc hit session highs versus the dollar and euro on the Iran rumour. It backed off later and was last at 1.003 francs to the dollar <CHF=> and 1.6190 francs to the euro <EURCHF=>.
Euro zone government bonds were firmer, reversing earlier losses. The interest rate-sensitive two-year Schatz yield <EU2YT=RR> was down 2 basis points at 4.554 percent. The 10-year Bund yield <EU10YT=RR> was also down 2 basis points at 4.598 percent.
(Editing by Gerrard Raven)