Freedom From Union Violence Act of 2013 - Amends the Hobbs Act to authorize imposition of a fine of up to $100,000, 20 years' imprisonment, or both for: (1) obstructing, delaying, or affecting commerce or the movement of any article or commodity in commerce by robbery or extortion (or attempting or conspiring to do so); and (2) threatening physical violence to any person or property in furtherance of a plan or purpose to interfere with commerce by threats or violence.

Makes provisions regarding any such interference inapplicable to conduct that: (1) is incidental to otherwise peaceful picketing during the course of a labor dispute; (2) consists solely of minor bodily injury, or minor damage to property, or threat or fear of such minor injury or damage; and (3) is not part of a pattern of violent conduct or of coordinated violent activity. Subjects such conduct to prosecution only by the appropriate state and local authorities.