The federation said on Facebook it had “decided to terminate the contractual relationship by mutual consent with the entire technical staff of the senior national team."
The decision came after Tunisia lost a penalty shootout 3-2 to 10-man Mali on Saturday after the match finished 1-1 after extra time.
Trabelsi, 57, took the helm last February for a second term, having led the national team from 2011 to 2013.