The following Java updates has been released for CentOS 6:

CESA-2016:0050 Important CentOS 6 java-1.8.0-openjdk Security Update
CESA-2016:0053 Critical CentOS 6 java-1.7.0-openjdk Security Update

CESA-2016:0050 Important CentOS 6 java-1.8.0-openjdk Security Update

CentOS Errata and Security Advisory 2016:0050 Important

Upstream details at : https://rhn.redhat.com/errata/RHSA-2016-0050.html

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

i386:
47b53df7e7686445917d6fa73347f7b2a9ecdc367a7ef4310a195db863e07605 java-1.8.0-openjdk-1.8.0.71-1.b15.el6_7.i686.rpm
870e54d67858bd6cb473c2b6f3f02df983e86aac76672ae866d87cd68d2cd620 java-1.8.0-openjdk-debug-1.8.0.71-1.b15.el6_7.i686.rpm
593a96913506264ac728a7c25c4df9f951a228379875a2d150ca31612867d979 java-1.8.0-openjdk-demo-1.8.0.71-1.b15.el6_7.i686.rpm
5a63b9a303d8422dfcd29918239aa861d13157e73355435470fc89822e476786 java-1.8.0-openjdk-demo-debug-1.8.0.71-1.b15.el6_7.i686.rpm
773f1218e7be4ec4dbcd1f07cd504fb86eee9e33fff1d378126b1132a80d44f9 java-1.8.0-openjdk-devel-1.8.0.71-1.b15.el6_7.i686.rpm
a06276ec78d8620e9070bdd2bea350da675bdb53b825021b8eb83e668b12b266 java-1.8.0-openjdk-devel-debug-1.8.0.71-1.b15.el6_7.i686.rpm
201775357a1744277ecd0a15dd8ad2efc01600829459d1721eba4eda2c3d5192 java-1.8.0-openjdk-headless-1.8.0.71-1.b15.el6_7.i686.rpm
552bf64c3faeeecf9a535058f6d9b6125ea776443f6933fad3c2bae4ae844198 java-1.8.0-openjdk-headless-debug-1.8.0.71-1.b15.el6_7.i686.rpm
2cc63c950232a52e2af986de282810ca877b5d1c1ba731bdfbbb29da8364ee94 java-1.8.0-openjdk-javadoc-1.8.0.71-1.b15.el6_7.noarch.rpm
3437cfdbe9de045e1fb93a972050c8c085f4a7c11cc5a28dbb49d91ef3b3e12a java-1.8.0-openjdk-javadoc-debug-1.8.0.71-1.b15.el6_7.noarch.rpm
fe32babcde4bc7a81099ed84c8afd5a554b58dedf4d48328a7bc8fa98b1bdbd1 java-1.8.0-openjdk-src-1.8.0.71-1.b15.el6_7.i686.rpm
93b30f6466817116aba80e5a5560557206c26b83121530f87db3c338f03c5f47 java-1.8.0-openjdk-src-debug-1.8.0.71-1.b15.el6_7.i686.rpm

x86_64:
96588bd153d0d1329a323133875ebbb0d5e967fb28965aa3125684f26b0cc043 java-1.8.0-openjdk-1.8.0.71-1.b15.el6_7.x86_64.rpm
627356e6e6f5bbb3ca1d5d6a507a1effc1025b12b61873ca1c357c26a8a43efc java-1.8.0-openjdk-debug-1.8.0.71-1.b15.el6_7.x86_64.rpm
5ac2c57a63695698340ec5cdb89480276e2e6269c932a688d35f602c65c7868c java-1.8.0-openjdk-demo-1.8.0.71-1.b15.el6_7.x86_64.rpm
babd40e500c64ffee910ab63415a1cb25aadbbdbfb7b707e9409150518dae9f5 java-1.8.0-openjdk-demo-debug-1.8.0.71-1.b15.el6_7.x86_64.rpm
483aea0f4864308627a2b395815d7c3f1a2989fb5059db0f12bec3d265a20a4e java-1.8.0-openjdk-devel-1.8.0.71-1.b15.el6_7.x86_64.rpm
83387eb090989234c8ad3e9ffe184fab4925ae12b04760cedf0e8aa20d819b55 java-1.8.0-openjdk-devel-debug-1.8.0.71-1.b15.el6_7.x86_64.rpm
e0501f0f22a7735b904a6d162f450ef77bc1d735d0f4f119f501c242a684ce06 java-1.8.0-openjdk-headless-1.8.0.71-1.b15.el6_7.x86_64.rpm
31f01911434c0fe843111162b7ac6c87b4e11f5c3f110dc9e0efbd6b9154e947 java-1.8.0-openjdk-headless-debug-1.8.0.71-1.b15.el6_7.x86_64.rpm
2cc63c950232a52e2af986de282810ca877b5d1c1ba731bdfbbb29da8364ee94 java-1.8.0-openjdk-javadoc-1.8.0.71-1.b15.el6_7.noarch.rpm
3437cfdbe9de045e1fb93a972050c8c085f4a7c11cc5a28dbb49d91ef3b3e12a java-1.8.0-openjdk-javadoc-debug-1.8.0.71-1.b15.el6_7.noarch.rpm
3169c0afbcc6999f1f9fda2a07d9c146c3161fa190dbe084d1b640056dcd92a1 java-1.8.0-openjdk-src-1.8.0.71-1.b15.el6_7.x86_64.rpm
2b02726d886cd3abedfd73f9cb6ff9e03cd0b576275b3cbcb82ab7e4fe27317b java-1.8.0-openjdk-src-debug-1.8.0.71-1.b15.el6_7.x86_64.rpm

Source:
00f2a32ac01877cde580b25cde11c7096fc4ffd0137ae7a0a9d74febee7efa2c java-1.8.0-openjdk-1.8.0.71-1.b15.el6_7.src.rpm

CESA-2016:0053 Critical CentOS 6 java-1.7.0-openjdk Security Update

CentOS Errata and Security Advisory 2016:0053 Critical

Upstream details at : https://rhn.redhat.com/errata/RHSA-2016-0053.html

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

i386:
ba07b9873ad020637ad87fa5461567c30824d1d47a5c730dcb4ddfc2b7b0e621 java-1.7.0-openjdk-1.7.0.95-2.6.4.0.el6_7.i686.rpm
48053b4ee1c3f92ce571a802f5c62dfb82f1b54b44cfd3d1275ad315fceb23a2 java-1.7.0-openjdk-demo-1.7.0.95-2.6.4.0.el6_7.i686.rpm
81bc06f8710916fce5322b4277c68d322941530c98fe75c8d9eb4e879495736d java-1.7.0-openjdk-devel-1.7.0.95-2.6.4.0.el6_7.i686.rpm
cfa68369b2407adba901e08208a678cb5def76b13d75fc9cbfccc0dfd41e6d9c java-1.7.0-openjdk-javadoc-1.7.0.95-2.6.4.0.el6_7.noarch.rpm
f7db8743e5fdc82080d98c1f83c2bb649973a02ae2f44cf6db3a8bf95806a11a java-1.7.0-openjdk-src-1.7.0.95-2.6.4.0.el6_7.i686.rpm

x86_64:
1fb2b15249e687bdae09a788812b392140253b5efe9441db413f167e35bce35c java-1.7.0-openjdk-1.7.0.95-2.6.4.0.el6_7.x86_64.rpm
2ecb8b09b37816c7c951f826ae0c407fa186a10a256cc15dc43cce2dc343d08e java-1.7.0-openjdk-demo-1.7.0.95-2.6.4.0.el6_7.x86_64.rpm
87df6c92b692cd8c4f69b4f2ae9622a042b3cc543f01d94c56690253fc2e881f java-1.7.0-openjdk-devel-1.7.0.95-2.6.4.0.el6_7.x86_64.rpm
cfa68369b2407adba901e08208a678cb5def76b13d75fc9cbfccc0dfd41e6d9c java-1.7.0-openjdk-javadoc-1.7.0.95-2.6.4.0.el6_7.noarch.rpm
a5f528018c13fdca3618156d2be105341809d757240553664ae95b642a3cd647 java-1.7.0-openjdk-src-1.7.0.95-2.6.4.0.el6_7.x86_64.rpm

Source:
1fea81b61588824cde87bd7105926d5afbee266662a1bf0b4050ec3a6dfcca8a java-1.7.0-openjdk-1.7.0.95-2.6.4.0.el6_7.src.rpm