He explained his views on marriage and divorce further in a column for the Daily Beast.
"It is at least a small comfort to me, as a gay rights and marriage equality advocate, to know that like any marriage, gay and lesbian couples are subject to the same complications and hardships that afflict marriages between heterosexual couples," Robinson wrote.
Hundreds of parishes left the Episcopal Church, many in protest of his controversial consecration.
"Whenever you choose to or are called into living a public life, one of the prices you pay for that is public scrutiny, so it's not surprising that people will pay attention to this," said Susan Russell, an Episcopal priest at All Saints Church in Pasadena, Calif., and past president of the LGBT advocacy group Integrity USA.
Robinson, 66, is now a senior fellow at the Center for American Progress in Washington, D.C.
"My belief in marriage is undiminished by the reality of divorcing someone I have loved for a very long time, and will continue to love even as we separate," Robinson wrote in his column. "Love can endure, even if a marriage cannot."
The couple's 2008 civil union was automatically transferred to marriage when New Hampshire legalized gay marriage in 2009, according to Russell.
In 2012, the Episcopal Church voted to allow bishops to permit priests to bless same-sex marriages. Russell said further discussion about the church's canon law and prayer book in relation to gay and lesbian concerns will be held at the denomination's convention next year.
Robinson went public with his sexual identity and divorce from his wife in 1986. He has since been open about the heavy toll he has faced under public scrutiny. Eight years ago, he underwent treatment for alcoholism.
Robinson declined to speak further in an interview.
Critics say Robinson's actions defied scriptural authority and thousands of years of Christian tradition. His divorce could fuel the fire, said Douglas LeBlanc, an Episcopalian who reported on Robinson's consecration when he was an editor at Christianity Today.
"I'm sure there might be some conservatives who might say, 'We told you so all along: if you depart from church teachings on homosexuality, you're opening the door to all kinds of chaos,'" LeBlanc said. "In many ways, I think you are. But I think it's imperative to say, the House of Bishops is not lacking on heterosexual sin."
The Episcopal Church's deliberations on same-sex marriage will likely continue regardless of Robinson's divorce, LeBlanc said. Some, though, might seize on the news of his divorce.
"People will perhaps rub his nose in this for the rest of his life when he's debating folks on the sexuality wars," LeBlanc said. "It probably won't shock a lot of people and will sadden a lot of people, too."
Robinson is no longer the only openly gay bishop in the Episcopal Church. Bishop Mary D. Glasspool was consecrated in Los Angeles in 2010.