The 'Tonight (I'm Lovin' You)' singer had already announced five shows for later this month.
The extra concerts will take place in June at Nottingham's Capital FM Arena and Cardiff Arena.
Tickets for the two dates go on sale March 11 at 9.30am.
The Enrique Iglesias tour dates are as follows:
- March 19 - Belfast, Odyssey Arena
- March 21 - Newcastle upon Tyne, Metro Radio Arena
- March 24 - Manchester, MEN Arena
- March 25 - London, O2 Arena
- March 26 - Birmingham, LG Arena
- June 8 - Nottingham, Capital FM Arena
- June 10 - Cardiff, Cardiff Arena