A pivotal base is adapted for detachably connecting a canopy frame to a stroller. The pivotal base comprises a connector, a first pivotal connector and a second pivotal connector. Wherein the connector of the pivotal base has a plug for connecting with the stroller, and a snap wall formed with a toothed inner surface; the first pivotal connector has a first connecting portion for connecting with a canopy brace, and a toothed portion pivotally inserted and snapped by the toothed inner surface in a plurality of fixed angle positions; and the second pivotal connector has a second connecting portion for connecting with another canopy brace, and a toothed portion pivotally inserted and snapped by the toothed inner surface in a plurality of fixed angle positions.