RC Kemp and Son has applied for planning permission from Guildford Borough Council for the glasshouse on 6.6 acres of land adjacent to Clasford Farm, Worplesdon.
The business has been growing bedding plants for the wholesale market since 1945, and trades from its existing Sandiacre Nurseries site 1km away.
Genesis Town Planning-prepared documents said: "The business is in need of expansion due to a growing customer base including a local garden centre which has acquired a new site and invited the applicant to be its sole supplier of bedding plants and other vegetable plants.
RC Kemp and Son employs 16 full-time and 10 part-time staff its Sandiacre Nurseries site, rising to 26 full-time and 20-part time in the spring and would create 10 additional full-time jobs plus part-time roles in the peak period.
Guildford Borough Council validated the planning application on 27 April.