Han Eun-jung made her acting debut in the 1999 MBC series For the Sake of Love. In 2002, she appeared in the top-rating romantic comedy Successful Story of a Bright Girl and the romance series Age of Innocence, which both aired on SBS. Her work in the said dramas won her the New Star Award at the SBS Drama Awards. In 2004, she was cast in the hit KBS2 series Full House, which starred Song Hye-kyo and Rain. In 2006, she joined Ryu Soo-young in the KBS1 series Seoul 1945, which was named Best Drama at the 43rd Baeksang Arts Awards. Her performance in the series earned her an Excellence Award at the KBS Drama Awards. In 2008, she acted alongside Jung Jae-young in the movie The Divine Weapon, which received the Best Film citation at the 46th Grand Bell Awards. The film also gave her the Best Actress trophy at the 32nd Golden Cinematography Awards. In 2010, she headlined KBS2’s Gumiho: Tale of the Fox’s Child, which scored her an Excellence Award at the KBS Drama Awards. In 2014, she picked up the Best Supporting Actress trophy at the KBS Drama Awards for Golden Cross and Iron Man.

In December 2018, Han Eun-jung’s agency announced that the actress decided to use the stage name Han Da-gam. The agency explained that the actress wants to be remembered with a unique name and aims to be closer with the public. In January 2020, she married her fiancé, who is a businessman.