Dear Chandan 

Ebgineering admissions for various states are already started or going to be as soon as there entrance exams results are declared .

Jossa that conducted counselling for admissions into IIT , NIT and other centrally funded institutions will start once Advance results are declared. Likely in Last week of June.

For MHTCET in first week of June 

For getting information about various states counselling schedule you can keep visiting Career 360 and you can also copy paste below mentioned link :

https://www.google.com/amp/s/engineering.careers360.com/articles/state-btech-admissions-through-jee-main/amp

However you have to keep looking yourself most of the admission processes are going to be started this month . 

Thankyou 

Please Upvote and feel free to ask.

Hello,
The Commencement of JoSAA 2019 Registration and Choice Filling will start from the Second week of June 2019. The Mock Seat Allotment Round 1 will start from Third week of June 2019. The Final Date for Registration and Choice Filling will be in Third week of June 2019.

So please keep an eye on the official website of JOSAA.
Also visit this link for more details about JOSAA counseling.
https://www.google.com/amp/s/engineering.careers360.com/articles/josaa-counselling/amp