* Dollar set for small weekly fall on possible US-Iran ceasefire extension
* Kiwi reaches strongest level in three months
* Yen near key 160 level; data confirms intervention last month (Recasts headline and first paragraph, updates prices throughout and adds analyst quote in paragraph 5)
NEW YORK, May 29 (Reuters) - The dollar fell against other major currencies on Friday and was on track for its second consecutive week of losses after the U.S. and Iran reportedly reached an agreement to extend their ceasefire and lift restrictions on shipping through the Strait of Hormuz.
U.S. President Donald Trump said he would make a final decision on Friday over a deal with Iran to extend their ceasefire. That deal would extend the truce for another 60 days and allow traffic to flow through the strategic waterway while negotiators tackle difficult issues such as Iran's nuclear programme, four sources told Reuters.
The dollar had rallied at the outbreak of the conflict, drawing safe-haven flows and benefiting from the U.S. economy’s relatively limited exposure to energy-price inflation. But the greenback has since given back those gains as uncertainty over the war’s trajectory weighed on sentiment.
The euro was up 0.26% at $1.1678 and was on track for a weekly gain, while the pound was up 0.23% against the dollar at $1.3473.
"We don't have answers about a lot of things and it's creating a divergence or lack of consensus or complete narrative especially for central banks," said Juan Perez, director of trading at Monex USA in Washington. "That's why you're seeing that reflected in the lack of movement in the U.S. dollar overall."
The dollar index, which measures the greenback against a basket of currencies, was down 2% at 98.81, on track for a second straight week of losses.
Data on Thursday showed U.S. inflation rising at its fastest pace in three years in April, driven by higher energy prices due to the Iran war and cementing economists' views that the Federal Reserve will hold interest rates unchanged well into next year.
YEN INTERVENTION WATCH
The Japanese yen traded at 159.22 per dollar, remaining near the traditionally significant 160 level that has historically prompted interventions by Japanese authorities.
Japan's Ministry of Finance confirmed on Friday that the government spent 11.7 trillion yen ($73.5 billion) intervening in currency markets over the past month to support the yen, confirming what traders had widely suspected.
The Australian dollar was up 0.41% at $0.71915. The kiwi rose nearly 1% to $0.59920, its strongest level in more than three months, extending a recent rally after the Reserve Bank of New Zealand suggested rate hikes were likely.
Forex

* Sterling dips, remains within recent range


* Sterling weakens against euro, steady versus dollar


LONDON, May 26 (Reuters) - The pound slipped on Tuesday after optimism about an Iran peace deal was tempered by U.S. attacks on Iranian targets and...