The Directorate General of Health Services (DGHS) on behalf of Medical Counselling Committee (MCC) will start the NEET 2019 counselling most likely in the second week of June 2019. The counselling of NEET 2019 will be held in online mode i.e. candidates will be required to register online with DGHS as and when the registration process of the NEET 2019 counselling starts. 

You can follow the given link for all the details about the counseling process

Https://www.google.com/amp/s/medicine.careers360.com/articles/neet-counselling/amp