Install storm windows in the wooden shed. The space between the storm window unit and the regular window serves as an insulator, preventing cold air from coming into contact with warm air and creating condensation.
Run a dehumidifier, if you have an electrical outlet in the shed. A dehumidifier removes moisture from the air, resulting in less condensation. Dehumidifiers range in size, so choose one that is appropriate for the size of your shed.
Hang chemicals that absorb moisture if you cannot or prefer not to run a dehumidifier. Hang packages of silica gel, activated alumina, anhydrous calcium sulfate and molecular sieves, which absorb moisture. You might be able to buy some of these at a home improvement store, but you might have to go to an industrial chemical supplier.
Install a vapor barrier. Vapor barriers such as polyethylene film and asphalt-coated papers help prevent moisture condensation in your shed. You can lay a vapor barrier on the soil underneath the wooden shed or install it on the warm side of the walls.
Circulate the air. Make a habit of running a fan in the shed every day. Open windows to allow a breeze, and install windows if the shed does not have them.