[UPDATED- 10/4/2017: In a new update from USCIS, Premium processing services have now been resumed for all H-1B cases, as of October 3, 2017]

[UPDATE 9/28:  Premium processing may be resumed for all other H-1B’s in early October, but confirmation has not been released by USCIS at this time]

In USCIS’s latest update, Premium Processing is has now been resumed to applicants of the FY2018 H-1B CAP.  Applicants who are awaiting for the adjudication of their H-1B Cases may now file for premium processing.
Premium Processing services however, are still suspended for other H-1B Cases.