The move was announced on Twitter, while Alessio expressed his delighted at having signed his contract.
Alessio told Killie's official website: "It is a real honour for me to be named Kilmarnock manager.
"I've spent a lot of time researching and gathering information about the club and everyone I spoke to had nothing but positive things to say about Kilmarnock.
"I can't wait to get to work with the players and staff on the training pitch and building on the strong foundations left by Steve Clarke."
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