Trevor Weldon Ingram, 26, has been charged with making a terroristic threat, a third-degree felony punishable by up to 10 years in prison, city officials said.
The threat was received around 4:23 p.m. Officers checked the area but found nothing suspicious.
SXSW took to Twitter to apologize to attendees for the inconvenience.
Police say there is no broader security concern related to this incident.