There is no information except that they are finalizing the vendors to conduct the process. It is expected to start mid July. 

Expect BCECE registration to stadt from 12 th to 15th July.
Counselling shall tentatively take place from last week July 2018.

All latest notification shallbe given below.

https://engineering.careers360.com/articles/bcece-counselling

http://bceceboard.bihar.gov.in