The building at the corner of Pall Mall and Cockspur Street West has been designed by architect Falconer Chester Hall to provide 336 rental flats.
It will include a mix of studio flats and one, two and three-bedroom apartments with retail and office space on the ground floor and a private garden terrace on the first floor.
Construction Director Tom Anwyl said the development would provide 4-star hotel facilities for the residents of the building.
He added: “We are committed to ensuring that the areas in which we work benefit from the investment in them by ensuring that wherever possible we use local sub-contractors and source our materials through local supply chains and this is a policy we will continue in Liverpool.
“Our construction division has a number of developments both in progress and due to start this year and we are scheduled to build over 300 houses this year and over a thousand over the next three years.”