Expanding on some of the responses above, there's an important distinction between a trust as an owner of a business entity vs. a trust as a business entity.
Many kinds of trusts (estate planning vehicles, ESOP trusts, etc.) can own a business entity that is organized as a corporation, LLC, etc. In that case, the owner is a trust, but the operating business/employer is a corporation, LLC, etc.
Some states allow the business entity itself to be a type of trust (often called "business trusts" or something similar). In these instances, the operating business itself is organized as a trust (instead of a corporation, LLC, etc.) and is the employer.