LONDON, June 4 (Reuters) - The euro fell against the dollar on Thursday following the European Central Bank's decision to kept interest rates unchanged, leaving the market awaiting a news conference by its president Jean-Claude Trichet. The ECB kept interest rates on hold at a record low 1.0 percent, but the market is focused on the details Trichet is set to announce about plans to buy covered bonds [ID:nL3669427]. The dollar recovered from earlier falls against the euro and other higher risk currencies, with the market wary ahead of the ECB news and key U.S. non-farm payrolls data Friday, which have the potential to dampen hopes the global economy is on the mend. Trichet's news conference is scheduled for 1230 GMT, while a policy decision by the Bank of Canada is also due at 1300 GMT. "Trading is still consistent with the dollar bear trade losing some momentum as people await U.S. non-farm payrolls numbers on Friday," Brown Brothers Harriman currency analyst Audrey-Childe Freeman said. "Trichet's press conference will probably be a bit of a non-event, but it will be interesting to see how negative he is on growth." At 1211 GMT, the euro had fallen 0.3 percent on the day to $1.4101 , while the dollar index rose 0.3 percent to 79.752 .DXY. The dollar is well above the lows hit earlier this week. The euro hit $1.4337 in early trade on Wednesday, its strongest since December, before falling back. The dollar index on Tuesday fell as low as 78.334, the lowest this year. The dollar has come under pressure in recent weeks partly because the market is nervous about the ability of the United States to finance its growing debt issuance, while perceived higher risk currencies gained on optimism that the global economy may be over the worst. It staged a recovery after several Asian central bank officials reiterated their backing for the dollar as a reserve currency.

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