On screen, he starred opposite Anna Kendrick in the 2014 musical film The Last Five Years and as Jimmy Collins in the NBC series Smash (2013).

His parents divorced when he was young, and he lived in low-income housing, with his brother, Joey, sister, Jessa, and mother, Debbie (née Stone).

[15] Jordan played Jack in the stage version of Newsies at the Paper Mill Playhouse in New Jersey in September and October 2011.

[20][21] In December 2013, Jordan appeared in Hit List, a concert presentation of the fictional musical created for the second season of Smash.

[22] On February 16, 2015, Jordan starred as Leo Frank, opposite Laura Benanti as Lucille Frank, Joshua Henry as Jim Conley, and Ramin Karimloo as Tom Watson, in the concert production of Parade, also written by Jason Robert Brown, at the Lincoln Center's Avery Fisher Hall.

[24] In June 2016, Jordan reprised his role as Tony in the Hollywood Bowl concerts of West Side Story, alongside Karen Olivo and George Akram.

[28] In July 2023, it was announced that Jordan and Eva Noblezada will star in a new musical adaptation of F. Scott Fitzgerald's The Great Gatsby.

[30] In November 2024, it was announced Jordan would star in the Broadway premiere of Floyd Collins in the title role at the Vivian Beaumont Theatre, with performances beginning on March 27, 2025.

He starred in the Warner Bros. film Joyful Noise, opposite Queen Latifah, Keke Palmer, and Dolly Parton.

[35] Jordan played Jamie Wellerstein in The Last Five Years, a film adaptation of the musical of the same name, written by Jason Robert Brown, costarring Anna Kendrick as Cathy Hiatt.

On June 20, 2019, it was reported that Jordan would be starring as Casablanca Records founder Neil Bogart in the upcoming biopic Spinning Gold.

[40] On July 15, 2020, it was announced that Jordan would star in the upcoming Hallmark Channel film Holly and Ivy, alongside Janel Parrish and Marisol Nichols.

On January 3, 2021, it was announced that Jordan would star in another Hallmark Channel film Mix Up in the Mediterranean, alongside Jessica Lowndes.

Since 2024, Jordan has voiced Lucifer Morningstar, King of Hell, in the SpindleHorse Toons/A24 adult animated musical comedy-drama series Hazbin Hotel, airing on Amazon Prime Video, alongside Erika Henningsen as his daughter Charlie.

[43] Jordan married Broadway actress and singer Ashley Spencer at the Basilica of Saint John the Baptist in Canton, Ohio, on September 8, 2012.