If you are asking this question in reference to APICET Counseling, then no official dates has been announced yet, but according to official sources, online payment of  fee processing is to take place in last week of July.

You can visit the official website for latest updates-

https://sche.ap.gov.in/ICET/ICET/ICET_HomePage.aspx

And, if you are asking for TSICET, then counseling procedure will tentatively take place  in last week of July, visit the official site for latest updates-

https://tsicet.nic.in/Default.aspx