The nuptials were so top secret that not even their loved ones knew that they were attending a wedding! They "surprised guests at their annual July 4th party by exchanging views in front of their family and close friends," the rep adds.
The newlyweds in particular were feted by Joel's daughter, Alexa Ray, and actor Kevin James. New York Governor Andrew Cuomo officiated the ceremony.
Ray's mom is supermodel Christie Brinkley. "Congratulation to the glowing bride and groom," Brinkley wrote via Instagram following the news. "And to my daughter Alexa, who has a wonderful friend in Alexis! Wishing the growing family every happiness!"
Joel, 65, and 33-year-old Roderick -- who previously worked at Morgan Stanley -- began dating in 2009. In April, they confirmed they are expecting their first child together in the summer.
This is the fourth marriage for the "We Didn't Start the Fire" singer-songwriter. He previously was married to Elizabeth Weber from 1973 to 1982, Brinkley (his "Uptown Girl" inspiration) from 1985 to 1994, and celebrity chef Katie Lee, whom he split from in 2010 after six years of marriage.