According Wiki pedia:-
"The Spider Plant is very easy to
spread. They can be propagated by splitting its main
rosette. It is even easier to remove plantlets from the stolons and planting them separately or putting them in a glass of water. They will grow
roots readily in water but establish faster in soil while still attached to the parent plant, pinning the plantlet to the soil with a bent paper clip can be helpful. Make sure the soil is damp and well draining. The plantlet can then be removed from the parent plant in 7-10 days."