This technical note considers the global finite-time stability problem for a class of switched nonlinear systems with the cyclic switching sequence, dissipative or non-dissipative impulsive effects may appear at each switching instant, and each mode may or may not be finite-time stable individually. A new concept named cycle dwell time is proposed based on which two stability conditions are established. These conditions fully reveal the trade-off among each mode's dynamics, impulsive dynamics and initial conditions. An example of multi-agent systems illustrates the efficiency of the new results.