Spurs interim boss Cristian Stellini protested his innocence after he and Brighton's Roberto de Zerbi were dismissed
Spurs interim boss Cristian Stellini and his Seagulls counterpart Roberto de Zerbi were sent off after staff from both sides clashed in the 58th minute.
The FA said both clubs failed to ensure "technical area occupants conducted themselves in an orderly fashion".
Spurs and Brighton have until Monday, 17 April to respond to the charge.
The incident occurred after De Zerbi's side had a goal disallowed for handball for a second time at the Tottenham Hotspur Stadium.
The Video Assistant Referee (VAR) later turned down a penalty appeal and refereeing body PGMOL has since admitted Brighton should have been awarded a spot-kick.
-- Courtesy of BBC Sport