The Institute made the announcement on its website, although the Bachelor of Arts course is still being advertised on the Kingston University website, for entry in both 2013 and 2014.
Claire Symons Landscape Institute (LI) council branch representative said: "The closure of the undergraduate course at Kingston is such sad news for the London branch. It has produced and still is producing some great talent within the world of landscape architecture.
"This closure stops local students wanting to stay in London to study, whilst also preventing the chance for national and international students to experience student life in London."
Symonds added that the closure could put students off considering taking up the profession as a whole.
LI chief executive Alastair McCapra said: "The main focus of our attention now will be to ensure that the students enrolled on the course are properly looked after and that appropriate arrangements in are in place for them to continue their studies with minimum disruption."
The course is run by Alice Foxley, formerly head of research and development at Vogt Landscape Architects in Switzerland, who combines the role with a directorship of Studio Karst in Zurich.
Course graduate and chair of the Student Landscape Institute Council Rob Baffour-Awuah said: "I've experienced at first hand the positive influence of tutors such as Ed Wall and Pat Brown, amongst others. However like many students I've also experienced the effects of constrained resources and other day-to-day struggles.
"In order not to become isolated, it is important that Kingston's remaining student body are engaged with the wider student network and with practitioners."
Horticulture Week has approached Kingston University for comment.