Set a piece of fiberglass screen at the bottom of your pot.
Mix together 1 part each potting soil, perlite, sphagnum peat moss and compost.
Fill the container up to 3/4 inches from the top of the pot.
Plant five or six seeds in the center of the pot. Cover the seeds with a 1/2 inch of soil. Water the soil so it is moist and set it in a place with sun.
Remove all the seedlings except the two largest ones. Once the plants reach 8 to 10 inches in height, cut one of them, leaving just one plant in the container. Cut, do not pull, to prevent injuring the other seedling.
Add several stakes to the pot in a teepee formation, tying the stakes at the top. Guide the cucumber up the stake as it grows.
Apply a water-soluble fertilizer once a week once the cucumber begins to vine.