A new species, Pleurothallis cop-biodiversitatis, belonging to Pleurothallis subsection Macrophyllae-Fasciculatae, from the Central Andes of Colombia, is described and illustrated. This new species is compared with Pleurothallis matudana and Pleurothallis tandapiensis, the most morphologically similar species. Pleurothallis cop-biodiversitatis primarily differs from these species in having a lip with erose margins, more pronounced basal lobes, a rounded, apiculate apex, and a sulcate blade with a lanceolate, strongly vesiculate concavity.