Stocks fell at the open on Wednesday as weak data on the labor market became the latest in string of soft economic reports.

The Dow Jones industrial average <.DJI> was down 43.06 points, or 0.34 percent, at 12,526.73. The Standard & Poor's 500 Index <.SPX> fell 4.02 points, or 0.30 percent, at 1,341.18. The Nasdaq Composite Index <.IXIC> was off 6.41 points, or 0.23 percent, at 2,828.89.

U.S. private employers added a scant 38,000 jobs in May, far below expectations and the lowest level since September 2010, payrolls processor ADP Employer Services said.

(Reporting by Angela Moon)