Could it be a tree farm?
Although the ones I've heard of are for raising Christmas trees.

I think you need to use this, Charles. Forest farm is like a title of a farm, or a children's story!!

This page has a nice alternative, but may be too wordy for what you want:
http://www.bbnorway.com/hosts/07.napergard.html

another option

see e.g.:

§ 2601. Commercial forest plantation.
(a) A commercial forest plantation within the meaning and purpose of this chapter is a contiguous area of land of not less than 10 acres upon which the owner proposes to develop and maintain a forest either through planting or natural reproduction or both, to produce timber, pulpwood, poles, sawtimber or other wood products.
www.delcode.state.de.us/title3/c026/

The Commercial Forest program provides a property tax reduction to private landowners as an incentive to retain and manage forestland for long-term timber production.
...
There are approxiately 2.2 million acres listed in this program under the ownership of nearly 1300 private landowners. Landowners include private individuals, clubs, forest industry, and other businesses.

Landowners in this program agree to develop, maintain and manage the land as commercial forest through planting, natural reproduction, or other silvicultural practices.
www.michigan.gov/dnr/ 0,1607,7-153-30301_30505_32291---,00.html

Farm forestry and agroforestry are recognized terms in forestry. They mean growing trees for commercial purposes. Or farming with trees.

Both these terms yield a lot of hits in google.

From these terms, one may coin the terms "farm forest" or "agroforest", to convey the idea of cultivation of trees for commercial purposes.