They thrive on a rich soil that is slightly acidic in pH. They neither like wet nor dry soil, so add sand to the soil mix and water regularly to keep it damp. Reduce watering in Winter but don't let it go dry. As a standard medium you can mix 2 parts general purpose garden centre soil, 1 part washed sand or perlite, 2 parts leafmould and 1 part peat. Grow them in a container of 15 cm diameter, don't repot adults as the root system is quite delicate.
Biophytum sensitivum enjoys a position in bright indirect light. Too much direct sunlight can cause the leaflets to curl and shrivel but you might want to experiment. Too little light will result in dwarfed plants with a small number of leaves. Place them on a North-facing window or in a well-lit terrarium.