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The forward has made 32 appearances for Italy, including in the RBS 6 Nations defeat by England last month, and also competed at the 2011 Rugby World Cup in New Zealand.
Cittadini will join other new Wasps signings Bradley Davies, James Gaskell, Rob Miller and Scotland international fly-half Ruaridh Jackson next season, and director of rugby Dai Young says he is one of the best props in the game.
"I rate him as a very good prop at the highest level," he said.
"Lorenzo will be an excellent addition to our squad next year, his experience at international level will be a real boost for us.
"We've got some good young props here at Wasps who will learn from working with him. We want to build a squad which has strength in depth in every position and bringing in players like this will help us continue to build on that aim."