The dollar index, which tracks the greenback against a basket of six trade-weighted peers, retreated 0.1 percent to 100.26. It hit a five-week low on Thursday, and is down almost 1 percent for the week.
The dollar was steady at 113.32 yen but is on track to post a 1.2 percent loss for the week.
While the Fed raised interest rates by 25 basis points on Wednesday, it kept to its original forecast of three rate hikes this year, disappointing investors who were expecting four.
U.S. Treasury yields, which slid after the decision, staged a recovery on Thursday and continued to rise on Friday.
The 10-year yield was at 2.5402 percent in early trade, from its last close of 2.524.
"The story in global markets over the past 24 hours has centred on a broad-based tightening of monetary policy conditions (and the perception of future tightening)," Chris Weston, chief market strategist at IG in Melbourne, wrote in a note.
MSCI's broadest index of Asia-Pacific shares outside Japan rose 0.1 percent, set to end the week with a 3.3 percent gain, its biggest weekly increase since September.
Japan's Nikkei lost 0.4 percent, and is poised for a 0.5 percent loss for the week.
MSCI's all-country world stock index, which hit an all-time high on Thursday, was little changed on Friday, on track to end the week 1.3 percent higher.
Overnight, Wall Street was subdued following strong gains after the Fed's rate decision. The Nasdaq was flat, while the Dow and the S&P 500 posted losses.
But European shares were upbeat following the election victory of Dutch Prime Minister Mark Rutte, who defeated anti-immigration, anti-European Union rival Geert Wilders.
The euro <EUR=EBS> touched its highest level in 5-1/2-weeks on Friday. It was fractionally higher at $1.07715 in early trade, after two days of strong gains, and set to end the week up 0.9 percent.
Sterling inched lower to $1.235 early on Friday. On Thursday, it jumped to a two-week high after a decision by the Bank of England to hold interest rates steady, while hinting it might raise them soon.
In commodities, oil prices rose slightly, supported by a weaker dollar.
U.S. crude rose 0.25 percent to $48.87 a barrel after losing 0.2 percent on Thursday. It remains set to end the week 0.8 percent higher. U.S. crude touched its lowest level in more than three months early this week on concerns about a supply glut in the United States, but data on Wednesday showing a small decline in U.S. stockpiles helped lift prices.
Gold inched 0.1 percent lower to $1,225.14 an ounce, as investors took profits after strong gains this week on the Fed's more moderate monetary policy stance.
© Thomson Reuters 2017
(This story has not been edited by NDTV staff and is auto-generated from a syndicated feed.)