block of flats BrE , also: apartment block BrE
apartment building AmE * , also: apartment house AmE , also: residential tower AusE , also: apartment tower AusE

At the time his family were living high up in a block of flats.

The site is now occupied by a block of flats.

During 1951 - 1960, a block of flats was added to the complex.

A block of flats has now been built on this area.

How is solar going to help if you live in a block of flats?

And then they came up the stairs to his block of flats.

We flew back to my block of flats after that.

Practically everybody at her block of flats had gone to work.

She lives in an block of flats just down the street.

He lived in the block of flats where she was found.