* 158,000 private jobs added in June vs. est. 185,000 -ADP
* Weekly jobless claims rise for third straight week
* Tesla slips after Model S fails to ace some tests
* Indexes down: Dow 0.25 pct, S&P 0.35 pct, Nasdaq 0.57 pct (Updates to open)
By Tanya Agrawal
July 6 (Reuters) - Wall Street opened lower on Thursday amid broad declines after data showed the U.S. private sector added fewer jobs than expected in June.
The ADP National Employment Report showed private employers added 158,000 jobs in June, below the estimated addition of 185,000.
The report by payrolls processor ADP acts as a precursor to monthly nonfarm payrolls data, due on Friday, that includes hiring in both the public and private sectors.
Another set of data showed weekly jobless claims rose for the third straight week, with claims climbing to 248,000, above the 243,000 expected.
"The ADP number has some correlation to the U.S. NFP (nonfarm payrolls) and investors always adjust their expectations on the back of this," said Naeem Aslam, chief market analyst at Think Markets UK Ltd.
"But overall we think that the number is not that bad because this is the only second time that we have seen a miss."
At 9:34 a.m. ET (1334 GMT), the Dow Jones Industrial Average was down 52.8 points, or 0.25 percent, at 21,425.37 and the S&P 500 was down 8.65 points, or 0.35 percent, at 2,423.89.
The Nasdaq Composite was down 35.20 points, or 0.57 percent, at 6,115.66.
All the 11 major S&P 500 sectors were lower, with the tech sector's 1.08 percent fall topping the list.
Investors are also parsing minutes from the Federal Reserve's last meeting that showed policymakers were increasingly split on the outlook for inflation and how it might affect the future pace of interest rate hikes.
The Fed's preferred measure of underlying inflation slipped to 1.4 percent in May and has run below the 2 percent target for more than five years now.
The minutes revealed a few officials viewed equity prices as high when compared to standard valuation measures, even though earnings growth has been robust.
The S&P 500 has been trading at about 18 times earnings estimates for the next 12 months, compared with the long-term average of 15 times.
Shares of Tesla fell 3 percent after the luxury electric carmaker's Model S did not get the top score in certain tests by the Insurance Institute for Highway Safety.
General Electric slipped 1.5 percent after the European Commission accused the company of providing misleading information during a merger deal.
Costco rose 1.3 percent after the retailer reported a rise in its June sales number.
Declining issues outnumbered advancers on the NYSE by 2,027 to 544. On the Nasdaq, 1,734 issues fell and 472 advanced. (Reporting by Tanya Agrawal in Bengaluru; Editing by Anil D'Silva)