Place a pot inside your hanging basket if there isn't one in it already. Make sure the inner pot has drainage holes. If it doesn't, drill at least two 1/4-inch holes about 1 inch from the bottom.
Fill the inner pot with potting soil about halfway to the top. If the pot is very deep, place a 2-inch layer of small stones or gravel at the bottom to help with drainage.
Hold the strawberry plants so that the roots are touching the soil in the pot but not laying on it. Fill the rest of the pot with soil as you hold the base of the plant at the same height as the top of the pot. If you are planting more than one strawberry plant in the pot, lay the tops gently on the edges of the pot while you fill in the dirt.
Arrange the plants so that they will grow toward the outside of the basket, eventually draping down.
Water your plants thoroughly until water comes out of the drainage holes and hang the basket in a sunny location.