After a four-year work stoppage, the star-crossed Filene’s redevelopment is finally poised to move forward.

Boston regulators Thursday approved construction of a 625-foot residential tower, and the restoration of the original Filene’s building into offices and stores. The $620 million project also includes the renovation of a neighboring park that will add a new MBTA station entrance and an outdoor amphitheater.

Once complete, the Downtown Crossing project will become a new focal point for that section of the city, where boarded-up structures will be replaced with new shops and restaurants.

No tenants have been named, but developer Millennium Partners is planning to move forward with construction by the middle of next year. The company’s tower is taller and more slender than an earlier version proposed for the site. At a hearing at City Hall on Thursday, numerous supporters lined up to speak in favor of the project; no one spoke up to object. {…}