The Office 2013 June 2014 Cumulative Updates are now available, please see the links below:
http://support.microsoft.com/kb/2970262
Project Server 2013 June 2014 Server Roll up package:
http://support.microsoft.com/kb/2881062
Project Server 2013 June 2014 CU:
http://support.microsoft.com/kb/2880489 & http://support.microsoft.com/kb/2837680
Project 2013 June 2014 CU:
http://support.microsoft.com/kb/2880493
Also worth noting, if you haven’t done so already, install the March 2013 Public update: http://support.microsoft.com/kb/2768001 if installing the June 2014 CU.
The Office 2010 June 2014 Cumulative Updates are now available, please see the links below:
http://support.microsoft.com/kb/2970263
Project Server 2010 June 2014 Server Roll up package:
http://support.microsoft.com/kb/2880974
Project Server 2010 June 2014 CU:
**** No individual Project Server 2010 packages for June 2014 ***
Project 2010 June 2014 CU:
http://support.microsoft.com/kb/2880537
Remember SP1 or SP2 is a pre-requisite for the Office 2010 June 2014 CUs.
As always, test these updates on a replica test environment before deploying to production.
For more details see the following webcast on June 24th 2014:
http://ignite.office.com/webcasts/support-webcast-service-packs-cumulative-updates
