Smith's bond was set at $1,000, according to the report.
"This is obviously not the kind of behavior we expect from our players," Tide coach Nick Saban said in a statement released by the school. "I don’t have all of the details at this point and will handle it appropriately once I’ve had a chance to review the information."
Smith spent much of preseason practice working as Alabama's third cornerback in the Tide's defensive alignment that includes five defenders in the secondary.
The Atlanta native had nine tackles, two pass breakups and two passes defended in 13 games as a true freshman.
Smith is the first Tide player to be arrested since February, when four players -- D.J. Pettway, Eddie Williams, Tyler Hayes and Brent Calloway -- were involved in multiple incidents of second-degree robbery and credit card fraud and eventually dismissed from the team.