India, June 4 -- The U.S. dollar slipped against its major counterparts in the New York session on Wednesday, following the release of weaker than expected economic data, as well as rising trade tensions.

Data from payroll processor ADP showed that private sector employment rose by 37,000 jobs in May after climbing by a downwardly revised 60,000 jobs in April.

Economists had expected private sector employment to jump by 115,000 jobs compared to the addition of 62,000 jobs originally reported for the previous month.

A separate report released by the Institute for Supply Management showed service sector activity in the U.S. unexpectedly saw a slight contraction in the month of May.

The ISM said its services PMI fell to 49.9 in May from 51...