Both companies have presence in India, and the deal would help NTT Data International strengthen its footprint in IT services segment in North America.
For the transaction, the companies had entered into a 'stock and asset purchase agreement' in March this year.
In a tweet today, Competition Commission of India (CCI) said it has approved "acquisition of certain entities of Dell Inc by NTT Data International".
An IT services provider, NTT Data has presence in over 40 countries and offers consulting, application services, business process and IT outsourcing, among others.
While announcing the deal in March, Dell said that "the combined company will become an IT and BPO solutions powerhouse for the healthcare industry with more than 40 years of industry experience and robust end-to-end solutions".