Bacuna joins fellow new boys Jores Okore, Aleksandar Tonev, Antonio Luna and Nicklas Helenius at Villa Park as Lambert bolsters his squad ahead of the new season.
And the 21-year-old says he cannot wait to get started and prove himself as part of the club's 'new generation'.
"It's a new beginning for me," said Bacuna.
"It's a new step for me. I'm looking forward to being part of this young, hungry team we have at Villa.
"The manager is trying to create a new generation, to build something here and improve us all as players. He wants the guys to go out there and show what they can do. I'm up for the challenge.
"For every player who's coming in, it's good to find themselves in a team and an environment such as this.
"We will get the opportunity to show that we want to play and what we can do. We need to show the manager what we can do. You have to show the very best of yourself. That's what I will be looking to do.
"I'm fully focused to show myself at my new club. My mentality is that you start at the bottom and you prove yourself. This is what I intend to do."