Chief executive of Cucina Restaurants Steve Quinn said: "I'm delighted that we have won these two new contracts and retained three existing contracts.
“Every single thing we do as a company is centred around the food we provide for our customers, which is why we keep such a close eye on the rate at which we grow.
“We are now very close to our ceiling of 50 operating contracts and we are now concentrating on new initiatives which will further push the boundaries of what is possible in school food."
The new contracts are at Bulmershe Secondary School in Woodley, Reading which has 891 students, and Denbigh School in Milton Keynes, an 11-18 school with 1400 students.
Cucina has also retained contracts at The Hazeley Academy in Milton Keynes, Queens' School in Bushey, Hertfordshire, and Teddington School in Middlesex, with a combined estimated turnover of around £7m.