* Euro recovers from early tumble caused by ECB policy decisions
* Shared currency tops $1.36
* Wall St, European stocks rally (Adds euro's bounceback, stock market gains and changes dateline; previous LONDON)
By Michael Connor
NEW YORK, June 5 The euro turned up on Thursday, bouncing back from losses caused by European central bankers rolling out sub-zero interest rates in a battle against low inflation, as Wall Street stock prices and yields on U.S. Treasuries climbed.
The euro, a common currency used by 18 countries that a month ago traded at a hair under $1.40, on Thursday last stood at $1.3608 after touching a four-month low of $1.3504.
The euro is down more than 1 percent so far in 2014 against the dollar, which was down 0.1 percent on Thursday against the Japanese yen and 0.30 percent against the British pound at $1.6784.
The dollar index, which measures the dollar against a basket of currencies, was initially up and brushed a high last seen on Feb. 7 before easing 0.11 percent.
In a bid to boost the euro zone economy and avoid Japan-like deflation, the European Central Bank cut its interest rates to record lows, introduced fees in the form of negative interest rates on overnight depositors, and offered banks new long-term funds.
Policymakers stopped short of large-scale asset purchases for now, but ECB President Mario Draghi said more action would come it necessary.
Euro zone shares rallied, led by banks and peripheral indexes, as the ECB policy announcement lifted the German blue-chip DAX index to an all-time high of 10,013.69, before it ticked back down to 9,967.01, an overall increase of 0.4 percent on the day.
"This is very positive for equities because implicit in the announcement is that rates are going to be low for a very long time," said Manish Singh, director and head of investment services at Crossbridge Capital.
In New York, Wall Street rallied and took the Standard & Poor's 500 index of top American companies to an intraday high for the seventh time in eight trading sessions. The Dow Jones industrial average rose 20 points or 0.11 percent, to 16,737.53 as the S&P 500 gained 0.94 points to 1,927.88.
"The ECB is providing stimulus and that will help the global economy. It's a powerful force in keeping world interest rates low," said Kathy Jones, fixed income strategist at Charles Schwab in New York. "Draghi delivered."
Yields on U.S. Treasury securities rose in choppy trading after declining before the ECB announcement on strong overnight demand for U.S. bonds from Japanese investors, according to traders.
Benchmark 10-year notes were last up 1/32 in price to yield 2.60 percent, up from 2.58 percent before the ECB's decision.
Treasuries' yields rose in line with German government debt yields, which jumped after the ECB announcement.
"It probably puts pressure on U.S. rates to the extent that it's putting pressure on risk-free rates in Europe," said Chris Diaz, a portfolio manager at Janus Global Bond Strategy in Denver, Colorado. (Additional Reporting by Karen Brettell, Rodrigo Campos, Richard Leong and Daniel Bases in New York; Editing by Chizu Nomiyama)