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By employing a special feedback controlling scheme，a hyperchaotic Lorenz system with the structure of two time scales is constructed. Two kinds of bursting phenomena，symmetric fold/fold bursting and symmetric subHopf/subHopf bursting，can be observed in this system. Their respective dynamical behaviors are investigated by means of slow-fast analysis. In particular，symmetric fold/fold bursting is of focus-focus type，namely，both the up-state and the down-state are stable focus，which is di?erent from the usual fold/fold bursting；Symmetric subHopf/subHopf bursting is also of focus-focus type，which has not been reported in previous work. Furthermore，phase plane analysis has been introduced to explore the evolution details of the fast subsystem for symmetric sub-Hopf/subHopf bursting. With the variation of the parameter，symmetric subHopf/subHopf bursting can evolve to symmetric chaotic bursting or even hyperchaos.