Gains in shares of Home Depot and Boeing, up 3 per cent and 1.6 per cent respectively, led the Dow higher.
US Treasuries fell. Yields on the five-year note rose six basis points to 1.63 per cent.
"The gist of this sounds much more aggressive than what we expected," Brian Edmonds, the head of interest-rates trading in New York at Cantor Fitzgerald, one of 22 primary dealers that trade with the Fed, told Bloomberg News of the Fed minutes.
The US dollar strengthened, rising 0.4 per cent against the euro and advancing 0.7 per cent against the yen.
The minutes heighten the anticipation for Yellen's speech on Friday in Jackson Hole, Wyoming.
In Europe, the Stoxx 600 edged lower to finish the session at 335.3. Germany's DAX fell 0.2 per cent, France's CAC 40 slid 0.3 per cent, while the UK's FTSE 100 declined 0.4 per cent.
Here, minutes from the latest Bank of England meeting earlier this month showed two of the nine monetary policy committee members wanted to lift the Bank Rate, currently at 0.5 per cent, by 25 basis points, which is being seen as an unexpected challenge to Governor Mark Carney.
"For two members, in particular, economic circumstances were sufficient to justify an immediate rise in Bank Rate," according to minutes of the Aug 6-7 meeting released on Wednesday. "These members noted that the continuing rapid fall in unemployment alongside survey evidence of tightening in the labour market created a prospect that wage growth would pick up."