After the bell, shares of International Business Machines (IBM.N) were up 4.9 percent after the company reported revenue that beat analysts' expectations.
The blue-chip index had briefly surpassed the milestone on Tuesday but closed 3 points short of the record level.
The gains have been driven by stronger than expected earnings for many US companies, as well as the hopes of those companies that President Trump's tax reform plan could lower taxes on them.
Recent strong economic data and renewed hope that President Donald Trump may be able to make progress on tax reform also have helped lift stocks in recent weeks. "All the news is positive".
Investors are also awaiting the Fed's issue of the Beige Book, a periodic snapshot on the health of the US economy.
Asian shares conquer 10-year peak, oil up on Iraq tensions
OPEC and other key producers made a decision to curb oil output by 1.8 million bpd from January this year to March next year. The global benchmark crude traded at a premium of $5.99 to WTI for December.
Despite Republicans being in control of all three houses of government in the USA, many are concerned that they will never be able to pass the legislation that Trump and other prominent lawmakers have promised. The report, due at 2:00 p.m. ET (1800 GMT), will likely show if inflation pressures are accelerating.
Record closes for all three major indices on Wednesday, including a new milestone for the Dow Jones Industrial Average, despite a poor month for new home starts.
Shares of Wells Fargo, Bank of America and Goldman Sachs rose between 1.2 percent and 2.2 percent.
The tech-focused Nasdaq index dropped 3.44 points, to 6,620.57.
During the session, declining issues outnumbered advancing ones on the NYSE by a 1.37-to-1 ratio; on Nasdaq, a 1.72-to-1 ratio favored decliners.