His television roles include David Sawyer in the NBC comedy series The New Normal as well as Colin Morrello in the CBS All Access (later Paramount+) legal and political drama The Good Fight.

In The Hangover comedy film series, he played Doug Billings, one of the "Wolfpack" members who goes on weekend trips with the trio.

A farcical comedy, it was directed by Stanley Tucci and started previews at the Music Box Theatre on March 11, 2010, with the official opening date on April 4, 2010.

Anna Camp, David Wilson Barnes and Krysten Ritter co-starred in this production under the direction of Peter DuBois.

[17] The show was centered around a gay couple (played by Bartha and Andrew Rannells) and the surrogate mother (Georgia King) they selected to bear their child.

In 2018, Bartha co-starred as Colin Morrello in the first two seasons of the critically acclaimed CBS all-access drama, The Good Fight.

In 2021, Bartha signed on to play Robert Morgenthau in the second season of the critically acclaimed EPIX hit drama, Godfather of Harlem and co-starred opposite Jason Momoa in the Netflix movie Sweet Girl.

In 2022, Bartha starred in the controversial and critically acclaimed standalone episode in the third season of Atlanta called, The Big Payback.