The sanction was announced late Tuesday by South American continental governing body CONMEBOL, which also said Messi would be fined 1,500 dollars.
Messi was dismissed in the third-place game against Chile in Brazil following a confrontation with Gary Medel, who was also dismissed.
Following Argentina's semi-final loss to the hosts Messi was critical of CONMEBOL, alleging bias, but was not punished for his comments. Medel is also yet to be sanctioned.
Argentina begin the lengthy process of qualification for Qatar 2022 in March next year. The order of the fixtures is not yet known.
Messi was dismissed in the third-place game against Chile in Brazil following a confrontation with Gary Medel, who was also dismissed.
Following Argentina's semi-final loss to the hosts Messi was critical of CONMEBOL, alleging bias, but was not punished for his comments. Medel is also yet to be sanctioned.
Argentina begin the lengthy process of qualification for Qatar 2022 in March next year. The order of the fixtures is not yet known.