The 24-year-old joins the club for an undisclosed fee, thought to be around £8.5m, subject to a work visa and international clearance.
The winger makes the move to Villa Park from Turkish side Kasimpasa, where he scored nine goals and registered 10 assists last season.
He becomes Villa's ninth signing of the summer transfer window, and his capture is thought to lift the club's spending to around the £100m mark.
Dean Smith was delighted to welcome Trezeguet to the club as he continues to prepare his side for their Premier League opener against Spurs.
"We’re really excited to work with ‘Trez’. I’ve watched him a number of times." he said.
“He’s the type of wide player that we have been looking for who is direct, causes problems for the opposition in the final third and scores goals.”
Trezeguet featured for Egypt this summer during the African Cup of Nations, impressing during the their run before getting knocked out by South Africa.
Villa full-back Ahmed Elmohamady captains the side, and Trezeguet admits he spoke to the Egypt skipper ahead of the move to B6.
"Ahmed is a good friend of mine. He's like my brother, who I've played in the national team with for five years." he said.
"He's my captain and always speaks with me about Aston Villa, saying it's an amazing club and that I'd be happy here.
"I asked him a lot of questions. He will help me and believes I will help the team.
"It will help having him here with me and I look forward to working with him again.
"As for joining, I'm happy to be here at one of the biggest clubs around. I hope I can help the team to be successful – I will do my best.
"I'm looking forward to playing in the Premier League – it's a dream."