Liberation will handle sales and distribution for the features, which were both produced by Halcyon's managing director Chris Coen. Both will be released May 5.
Coen also co-produced the US remake of Funny Games, which will be released by Halcyon and Tartan on April 4 in the UK.
Coen said: 'For Halcyon's first DVD releases I am pleased to team up with such an exciting and energetic company. Liberation is a company with a bright future that felt like a perfect fit for our plans here at Halcyon.'
Goran Dukic's Wristcutters, a dark comedy about the afterlife, stars Patrick Fugit, Shea Whigham, Shannyn Sossamon and Leslie Bibb.
David S. Marfield's Deepwater is a Wyoming-set drama starring Lucas Black, Peter Coyote and Mia Maestro.