Bielsa was sanctioned after allegedly delaying the start of the second half of his team's 5-0 win over Bolivia.
The veteran Uruguay coach's place on the bench for Monday's game at Kansas City will be taken by assistant Pablo Quiroga.
Bielsa is one of several coaches at the Copa America who have been sanctioned for holding up play.
Argentina coach Lionel Scaloni, Chile's Ricardo Gareca and Venezuela's Fernando Batista have also been disciplined by CONMEBOL to similar offences.
The Uruguayan Football Association has also been fined $15,000.