The institutions include IIT at Tirupati, IIM at Visakhapatnam, NIT at Tadepalligudem in West Godavari district and Indian Institute of Science Education and Research (IISER).
Classes have started in IIT-Tirupati, IISER and NIT at Tadepalligudem and the same would begin in IIM-Visakhapatnam next month, Irani said.
She was speaking at an event at Tadepalligudem, about 320km from here, where the foundation stone for NIT was laid in the presence of Union Minister M Venkaiah Naidu and Chief Minister N Chandrababu Naidu.
The institutes were being up set in Andhra Pradesh as part of promises made by the Centre at time of the State's bifurcation last year.
"If you add this up, then in the higher education department alone, Government of India has proposed to invest over Rs 3,030 crore for the development of Andhra Pradesh," she said.
The Chief Minister has a dream to make Andhra Pradesh as an education hub in the world and the Centre's initiatives will help in achieving the goal, she said.
Noting that the Centre has built "100 per cent" toilets in schools, Irani said start-up companies should be established all over Andhra Pradesh as per the call of 'start-up India and stand-up India' given by Prime Minister Narendra Modi during his Independence Day address.