The following Java updates has been released for CentOS:

CESA-2016:0511 Critical CentOS 6 java-1.7.0-openjdk Security Update
CESA-2016:0514 Important CentOS 6 java-1.8.0-openjdk Security Update

CESA-2016:0511 Critical CentOS 6 java-1.7.0-openjdk Security Update

CentOS Errata and Security Advisory 2016:0511 Critical

Upstream details at : https://rhn.redhat.com/errata/RHSA-2016-0511.html

The following updated files have been uploaded and are currently
syncing to the mirrors: ( sha256sum Filename )

i386:
38333cb659ef9d1e0d0d41a09851d0e03fda4e29f7787bf29653315cbed44a4c java-1.7.0-openjdk-1.7.0.99-2.6.5.0.el6_7.i686.rpm
3deb5f2c69378200d957357cb1f6335abecfadd21917e3aa0c22be7a828515b3 java-1.7.0-openjdk-demo-1.7.0.99-2.6.5.0.el6_7.i686.rpm
96afea94846a5faefb2b7a0dbb28304e4b7b9843825539cd90567d9bb3504025 java-1.7.0-openjdk-devel-1.7.0.99-2.6.5.0.el6_7.i686.rpm
3844d999b13a0ed9d2f8f32cbffe7a923d4f900b5c831494bc8c7f1c4b1b4aca java-1.7.0-openjdk-javadoc-1.7.0.99-2.6.5.0.el6_7.noarch.rpm
8d10d03343574b0e49458ad028c62a19bc7ae8ab62ee00e2390b3c5004f249ea java-1.7.0-openjdk-src-1.7.0.99-2.6.5.0.el6_7.i686.rpm

x86_64:
e752132a8a7e1cf1c5e6bcfc214d55e2c5aa636fbbc8c6bfa3f82118ae971dd2 java-1.7.0-openjdk-1.7.0.99-2.6.5.0.el6_7.x86_64.rpm
9d533fd2c29bff1c92d35e38d7813de1d1b9841fb8f901d7e608a8d48b1d8424 java-1.7.0-openjdk-demo-1.7.0.99-2.6.5.0.el6_7.x86_64.rpm
72abbf120e677c6e0888f13995c395be31283b8a3f707a1bd252c6d7f22bafc0 java-1.7.0-openjdk-devel-1.7.0.99-2.6.5.0.el6_7.x86_64.rpm
3844d999b13a0ed9d2f8f32cbffe7a923d4f900b5c831494bc8c7f1c4b1b4aca java-1.7.0-openjdk-javadoc-1.7.0.99-2.6.5.0.el6_7.noarch.rpm
673fe3d9d70eea9a6a962a6893f2ab9f29e0db335164c50b76e98866ddadadb8 java-1.7.0-openjdk-src-1.7.0.99-2.6.5.0.el6_7.x86_64.rpm

Source:
7aa29619b44021a5c418f2886513d0a4789bcf1c5737a08d38141464a16b6107 java-1.7.0-openjdk-1.7.0.99-2.6.5.0.el6_7.src.rpm

CESA-2016:0514 Important CentOS 6 java-1.8.0-openjdk Security Update

CentOS Errata and Security Advisory 2016:0514 Important

Upstream details at : https://rhn.redhat.com/errata/RHSA-2016-0514.html

The following updated files have been uploaded and are currently
syncing to the mirrors: ( sha256sum Filename )

i386:
6b59479e59db490421e0b789d3285564138cd5ab70d1bb35e3a4b6238b8b8eab java-1.8.0-openjdk-1.8.0.77-0.b03.el6_7.i686.rpm
972a29ec793bcbd69d18c74dabe951a28f73e376088bec2e9f0998801c1f5c17 java-1.8.0-openjdk-debug-1.8.0.77-0.b03.el6_7.i686.rpm
c0f4e0bca639d0ed8ae58ad59664e7dba5e95014d17cf6f38259d10234497a6e java-1.8.0-openjdk-demo-1.8.0.77-0.b03.el6_7.i686.rpm
5e302648e9e135177d32c85a11c63e923e05a9c2886b4311bffa9a4c2c65c0d9 java-1.8.0-openjdk-demo-debug-1.8.0.77-0.b03.el6_7.i686.rpm
7f5183b652d8bc1a8ae1096f1606d17d793f9132f1f871d0c70a29a824764d8d java-1.8.0-openjdk-devel-1.8.0.77-0.b03.el6_7.i686.rpm
a5b9386ad7e05e6357451e59b013c1a9150e9140b617267b2d21aadc56bf63b3 java-1.8.0-openjdk-devel-debug-1.8.0.77-0.b03.el6_7.i686.rpm
761413afb257eb72963311d6995f8d3b4a8db65b6a4e037910dbfdd41fede524 java-1.8.0-openjdk-headless-1.8.0.77-0.b03.el6_7.i686.rpm
254037d7872e2ea4013f8af44aed7f6e00a02f03483c6048c8ddda1bdeefc581 java-1.8.0-openjdk-headless-debug-1.8.0.77-0.b03.el6_7.i686.rpm
f22d24389aa542bc2f9cbb9dff8d1b9e98da0194883585e89cc2aebfa6fda4be java-1.8.0-openjdk-javadoc-1.8.0.77-0.b03.el6_7.noarch.rpm
b36e0af0f2d10bc7b965361b5e9f1542271fe5d52ee6c65bad79b89f5cf3ba42 java-1.8.0-openjdk-javadoc-debug-1.8.0.77-0.b03.el6_7.noarch.rpm
e04350565daaafb98e5b63a3504cac50dc0ff8bd5be01e67565d116bb9402e55 java-1.8.0-openjdk-src-1.8.0.77-0.b03.el6_7.i686.rpm
f8a2dde3fe249b0e13601f6ba5074bd62c55fbabe6c0ef72551767dd21828369 java-1.8.0-openjdk-src-debug-1.8.0.77-0.b03.el6_7.i686.rpm

x86_64:
7b895f93cf9072c40526e3624570c2e0e3187b82cded5d90a2d34d119e47fff7 java-1.8.0-openjdk-1.8.0.77-0.b03.el6_7.x86_64.rpm
d1e63f0a00271c37785c3bf807e44bb028f52f05ff59e300a9f6489ff73b089a java-1.8.0-openjdk-debug-1.8.0.77-0.b03.el6_7.x86_64.rpm
fa17b66bb598c04a63e518b0beec9b79bfafa9ba3787bb610ee500385a5468ac java-1.8.0-openjdk-demo-1.8.0.77-0.b03.el6_7.x86_64.rpm
74fd22b68b7b9ce5c20627196547dd1dc67c3cc38676907d43970e59addc15b8 java-1.8.0-openjdk-demo-debug-1.8.0.77-0.b03.el6_7.x86_64.rpm
0a7824a3813e173a19c91c30b7d73ea1fcbac2e644570beb68a043946a8600f8 java-1.8.0-openjdk-devel-1.8.0.77-0.b03.el6_7.x86_64.rpm
e3399fa82c52cdf86b3d4c7c8fece1d3f786d57af2475034792f038c233d9300 java-1.8.0-openjdk-devel-debug-1.8.0.77-0.b03.el6_7.x86_64.rpm
7234e602deb6601ec6b0436eae4956339c08d5cad9ee6ba82515ab85fd43cd17 java-1.8.0-openjdk-headless-1.8.0.77-0.b03.el6_7.x86_64.rpm
44939403c57b92a00809455d16e23b8ef8b14a78ee9e1932be289b15e1a714cd java-1.8.0-openjdk-headless-debug-1.8.0.77-0.b03.el6_7.x86_64.rpm
f22d24389aa542bc2f9cbb9dff8d1b9e98da0194883585e89cc2aebfa6fda4be java-1.8.0-openjdk-javadoc-1.8.0.77-0.b03.el6_7.noarch.rpm
b36e0af0f2d10bc7b965361b5e9f1542271fe5d52ee6c65bad79b89f5cf3ba42 java-1.8.0-openjdk-javadoc-debug-1.8.0.77-0.b03.el6_7.noarch.rpm
286af04b050a75a9b65378646d15751099eebc33ff7edfc6d887027b06ade010 java-1.8.0-openjdk-src-1.8.0.77-0.b03.el6_7.x86_64.rpm
6bc3efdf0206cc93de67b8523e0338106b7e4e01e1b0d69526c8129c6a178e43 java-1.8.0-openjdk-src-debug-1.8.0.77-0.b03.el6_7.x86_64.rpm

Source:
a430de9d631dc13420600b78802a1671e04edd61651cbf8a52c42e49bee1cf9f java-1.8.0-openjdk-1.8.0.77-0.b03.el6_7.src.rpm