Private-sector employment in the U.S. rose by 281,000  jobs in June, up from the three-month average of 222,000, according to Automatic Data Processing Inc.’s (NASD: ADP) national employment report released today. The number of jobs added in June is up from the 179,000 jobs added in May.

“The job market is steadily improving,” said Mark Zandi, chief economist at Moody’s Analytics, which produces the report with ADP. “Job gains are broad based across all industries and company sizes. Judging from the job market, the economic recovery remains fully intact and is gaining momentum.”

According to ADP’s report, the service-providing sector added 230,000 jobs in June, up from 148,000 in May.

The goods-producing sector added 51,000 jobs in June, up from 31,000 jobs gained in May. The construction industry added 36,000 jobs over the month, more than double the May number and the highest total in that industry since February of 2006.

Small firms added the most jobs in the month with 117,000, followed by medium-sized companies with 115,000. Large businesses added 49,000 jobs.

The report is derived from a sample of ADP data from 411,000 U.S. business clients representing nearly 24 million U.S. employees. The report’s methodology utilizes ADP payroll data, U.S. Bureau of Labor Statistics employment data, and the Philadelphia Federal Reserve Bank’s Aruoba-Diebold-Scotti Business Conditions Index.