The 70-cover restaurant, the first food-led operation by the mixologists, opened on Heath Street in Hampstead last July with a second Purl bar, known as Flat P, located on the second floor.
The restaurant, which sold craft beers and whisky-based cocktails alongside an American-themed menu of hot dogs, sliders and sides such as bone marrow popcorn, had initially been very busy, but its owners said trade had fallen off in recent months and they faced no option but to close.
A message posted on the website last week announced the 'immediate closure' of the venue.
"The last 9 months have been a huge learning experience for us, and whilst both Dach & Sons and Flat P were amazingly well received initially, we have failed to reach the volume of trade that we had hoped for," it said.
"We would like to thank every one of you who has stopped by since our opening. And thanks also to our aweseome staff who - for a brief time - placed Hampstead firmly on the London cocktail circuit."
Fluid Movement, a collective of mixologists comprising of Matt Whiley, Tristan Stephenson, Thomas Aske and Bryan Pietersen, will continue to run their central London bars Purl and The Worship Street Whistling Shop while also working on a number of consultancies including at Alan Bird's soon-to-open restaurant Bird of Smithfield.
The team has also helped with the bar, Reason & Mankind, at new club Libertine, which is set to open its doors next week.