The 20-year-old, who came through the club's youth academy, has extended his contract until 2015.
The forward has had loan spells at Welling United, Bedfont Town, Grays Athletic and Canvey Island but is yet to make his first-team debut for the Daggers.
Boss John Still told the club's official website: "Louis has come through the youth system and has improved as a player.
"He has spent time out on loan which has helped with his development.
"We think he has a good future with the club. Hopefully over the next few years he will have developed even further."