Italian Football Federation (FIGC) president Gabriele Gravina said the green light to resume Serie A from June 20 was "a message of hope for the whole country".
Italy's minister for sport Vincenzo Spadafora made the announcement on Thursday, with the Coppa Italia semi-finals and final expected to take place during the preceding week.
Football in Italy has been suspended since March due to the coronavirus pandemic and all Serie A teams have 12 or 13 games remaining.
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There have been over 231,000 confirmed cases of coronavirus in the country, with more than 33,000 of those people dying.