Two adults and two children were rescued after being trapped in a flat in Granville Road after a fire broke out in the kitchen.
The family were asleep when the blaze started at about 03:25 BST.
A second fire broke out at a block of flats in Icewell Hill, Newmarket, at about 08:30 BST. The flats were evacuated.
A family was rescued after fires broke out in flats in Felixstowe.