The Office 2016 September 2016 updates and cumulative updates are now available, please see the links below:
https://support.microsoft.com/en-gb/kb/3188548
Project 2016 September 2016 update:
https://support.microsoft.com/en-gb/kb/3118266
SharePoint Server 2016 September 2016 update – Project Server 2016 fixes:
https://support.microsoft.com/en-gb/kb/3118289 & https://support.microsoft.com/en-gb/kb/3118295
The Office 2013 September 2016 updates and cumulative updates are now available, please see the links below:
https://support.microsoft.com/en-gb/kb/3188548
Project Server 2013 September 2016 CU Server Roll up package:
https://support.microsoft.com/en-gb/kb/3118274
Project Server 2013 September 2016 update:
https://support.microsoft.com/en-gb/kb/3118285
Project 2013 September 2016 update:
https://support.microsoft.com/en-gb/kb/3115493
Also worth noting, if you haven’t done so already, install Service Pack 1 http://support2.microsoft.com/kb/2880556 first if installing the September 2016 CU.
The Office 2010 September 2016 updates and cumulative updates are now available, please see the links below:
https://support.microsoft.com/en-gb/kb/3188548
Project 2010 September 2016 update:
https://support.microsoft.com/en-gb/kb/3115249
As always, fully test these updates on a replica test environment before deploying to production.
Modern Work Management - Project and the Power Platform blog 