The granite-clad buildings will be cut into different shapes

The waterfront scheme consists of three wedge-shaped buildings on Mann Island, built next to the controversial X-shaped Museum of Liverpool.

The city's planning committee gave its approval on Tuesday.

The decision had been delayed after concerns were raised about whether it would affect the waterfront's World Heritage Status.

Inspectors visited the city, and the council said their preliminary report was "positive". A more extensive report is not expected until next year.

Opponents claim the buildings, two of which will be residential, could harm the area's architectural heritage.

Will Alsop's controversial design was eventually rejected

Among the groups opposing the scheme include the Liverpool Preservation Trust, The Victorian Society and Albert Dock Residents' Association.

The three granite-clad buildings would house more than 300 apartments in two buildings, as well as offices, shops, bars and restaurants.

Developers Neptune and Countryside Properties said the buildings would frame views of the city's Three Graces - the Port of Liverpool Building, Cunard Building and the Liver Building.

Steve Parry, managing director of Neptune Developments, said: "We are delighted to be finally moving ahead with this scheme.

'Positive support'

"This is a not only one of the key development sites for Liverpool but one of the most important in the whole of the North West.

"The overwhelmingly positive support we received is reflected in the decision of planning committee."

The plans were backed by English Heritage, Liverpool Vision and the North West Development Agency.

Plans for a Fourth Grace - Will Alsop's "The Cloud" - were dropped in 2004, after they were deemed "unworkable".