Justice Kennedy wrote for the Court, joined by the Chief Justice and Justice Alito in full and Justices Scalia and Thomas in part. Scalia and Thomas refused to join part Part II-B of Kennedy's opinion, which concluded that a "fact-intensive" inquiry of the specific practice at issue in this case did not unconstitutionally coerce individuals to engage in religious observance. Justice Alito wrote a concurring opinion, joined by Justice Scalia. Justice Thomas wrote an opinion concurring in part and concurring in the judgment, joined by Justice Scalia in part. On the other side, Justice Breyer wrote a dissenting opinion for himself, and Justice Kagan wrote a dissent joined by Justices Breyer,
Ginsburg, and Sotomayor.
MORE: http://www.washingtonpost.com/news/volokh-conspiracy/wp/2014/05/05/breaking-supreme-court-upholds-legislative-prayer-in-town-of-greece-v-galloway/
See also...
After Supreme Court ruling, do religious minorities have a prayer?
http://religion.blogs.cnn.com/2014/05/05/supreme-court-religious-minorities-dont-have-a-prayer/
Supreme Court Legislative Prayer Ruling Criticized By Religious Groups
http://www.huffingtonpost.com/2014/05/05/supreme-court-legislative-religious-groups_n_5268823.html
A Big Win for the Prayer Lobby
http://www.nytimes.com/2014/05/08/opinion/a-big-win-for-the-prayer-lobby.html?partner=rssnyt&emc=rss&_r=2
Supreme Court Disaster: In a 5-4 Ruling, Justices Approve of Christian Prayers in Greece, New York
http://www.patheos.com/blogs/friendlyatheist/2014/05/05/supreme-court-disaster-in-a-5-4-ruling-justices-approve-of-christian-prayers-at-city-council-meetings/
Humanist Group Launches Secular Invocations Program in Response to Supreme Court Ruling
http://americanhumanist.org/news/details/2014-05-humanist-group-launches-secular-invocations-program