The contact is worth up to £9m.
"The grounds maintenance services comprise general grounds maintenance, tree inspections and works and play area inspection and maintenance," said a spokesman for the local authority in Bideford.
The eight year contract which starts on April 2013 with an option of a two-year extension also includes sports-pitch maintenance, litter collection, grave works, cemetery maintenance and ancillary activities.
The catchment area was the responsibility or more than one contracting authority, the spokesman said. They included Torridge District Council, North Devon District Council, Barnstaple Town Council, Devon County Council and North Devon Homes.
"The grounds maintenance services contract will therefore be with and run by all of the contracting authorities as equal parties. But each of the contracting authorities will have individual requirements."
The deadline for receipt of tenders or requests to participate is 5 September. For further details email email@example.com