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Understanding current fluctuations is of fundamental importance and paves the way for the development of practical applications. According to the thermodynamic and kinetic uncertainty relations, the precision of currents can be constrained solely by entropy production or dynamical activity. In this study, we derive a tighter bound on the precision of currents in terms of both the thermodynamic and kinetic quantities, showing that these quantities cooperatively constrain current fluctuations. The thermodynamic and kinetic uncertainty relations become particular cases of our result in asymptotic limits. Intriguingly, our relation leads to a tighter classical speed limit, refining the time constraint on the system's state transformation. This framework can be extended to apply to state observables and systems with unidirectional transitions, which leads to a constraint on the precision of the firstpassage time.