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The euro fell to $1.0833 after the decision and dropped almost 1 percent on the day against sterling at 76.63 pence.
German Bund futures hit the day's highs at 163.00.
Ten-year Bund yields were down 5 basis points at 0.19 percent.
Euro zone money market rates rose after initially falling on the decision, which did not introduce two-tiered deposit rates as some had expected.
Pan-European equities rose on the ECB announcement, with the FTSEurofirst 300 index up 2.5 percent.
The euro zone blue-chip index rallied 3.6 percent, with banking stocks among the strongest gainers.