U.S. Department of Labor Occupational Safety and Health Administration
Do OSHA standards require employers to provide training?
Yes. In construction and shipyards, you must provide training for employees exposed above a PEL and for employees involved in each identified work classification.
The specific training requirements depend upon the particular class of work being performed.
In general industry, you must provide training to all employees exposed above a PEL. You must also provide asbestos awareness training to employees who perform housekeeping operations covered by the standard.
You must place warning labels on all asbestos products, containers, and installed construction materials when feasible.
Courtesy of U.S. Department of Labor Occupational Safety and Health Administration

The OSHA standards for asbestos compliance