In　this　paper,　we　propose　a　scheme　for　the　entanglement　creations　and　the　quantum　gate　implementations　of　spin　qubits　via　Lyapunov　control.　We　first　show　that　three　types　of　Bell　states　can　be　generated　in　one　step　with　the　traditional　Lyapunov　control.　After　that,　the　traditional　Lyapunov　control　is　generalized　with　the　design　of　two　Lyapunov　functions　that　characterize　the　distance　between　two　unitary　operators.　Thus,　the　Lyapunov　control　can　be　also　used　in　constructing　desired　unitary　operations.　The　performance　of　the　entanglement　creations　and　the　quantum　gate　implementations　are　both　estimated　via　numerical　simulations.　The　results　show　the　scheme　holds　robustness　against　the　errors　of　the　fields　and　couplings.　As　the　generalization　of　Lyapunov　control　can　not　only　be　used　in　spin　systems,　the　scheme　may　benefit　the　quantum　information　processing　in　different　quantum　systems.