* Canadian dollar rises 0.3% against the greenback
* Loonie touches its strongest since May 22 at 1.3381
* Price of U.S. oil increases 0.4%
* Canadian bond prices fall across a steeper yield curve
By Fergal Smith
TORONTO, June 4 (Reuters) - The Canadian dollar strengthened to its highest level in nearly two weeks against its U.S. counterpart on Tuesday, as oil prices rose and speculation the Federal Reserve would soon cut interest rates weighed on the greenback.
At 4:08 p.m. (2008 GMT), the Canadian dollar CAD=D4 was trading 0.3% higher at 1.3394 to the greenback, or 74.66 U.S. cents. The currency touched its strongest level since May 22 at 1.3381.
"The bulk of the move" for the Canadian dollar was due to broader pressure on the greenback as the U.S. Treasury market prices in a number of interest rate cuts from the Federal Reserve, said Mazen Issa, a senior FX strategist at TD Securities.
The U.S. dollar .DXY hit its lowest since mid-April as Federal Reserve Chair Jerome Powell alluded to the possibility of an interest rate cut in the face of economic risks, including the global trade war. prospect of a U.S. rate cut helped boost global stocks .WORLD and commodity prices, with U.S. crude oil futures CLc1 settling 0.4% higher at $53.48 a barrel. Oil is one of Canada's major exports. Prime Minister Justin Trudeau, asked about U.S. President Donald Trump's threat to impose tariffs on Mexico, said Ottawa would move ahead in a responsible way to ratify a new North American free trade pact.
Canadian government bond prices were lower across a steeper yield curve, with the two-year CA2YT=RR down 5 Canadian cents to yield 1.386% and the 10-year CA10YT=RR falling 53 Canadian cents to yield 1.474%.
On Monday, the 10-year yield hit its lowest since June 2017 at 1.419%.
Canada's trade data for April is due on Thursday and the May jobs report is due on Friday.