The idea was established by a group of friends who worked to find an alternative to long waitlists for council allotments.
The Roots Allotments team, which opened an allotment in Bath, has been inundated with customers.
The founders said the allotment is "the first organic no-dig site of its kind in the world".
The team is actively looking for sites in Bristol, with the hopes to establish a garden there.
Ed Morrison, Will Gay, Josh Gay and Christian Samuels founded the site in Bath after realising the need to have a "modern day, inclusive allotment" that applicants would not have to wait years for.