New York's main contract, light sweet crude for delivery in May, rose 28 cents to $104.55 per barrel.
Brent North Sea crude for May delivery gained 20 cents to $115.33.
Crude markets were being supported by a rally in the US equities market late last night, said Serene Lim, oil and gas analyst for ANZ bank in Singapore.
"I think it's very much a technical rebound... Very much lifted by the bullish S&P equities," she told AFP.
US stocks made solid gains after being cheered by upbeat statistics released late last night on private-sector hiring, which suggested the ailing labour market had turned a corner.