The cosmological implication of a double inflation model with hybrid + new inflations in supergravity is studied .
The hybrid inflation drives an inflaton for new inflation close to the origin through supergravity effects and new inflation naturally occurs .
If the total e -fold number of new inflation is smaller than \sim 60 , both inflations produce cosmologically relevant density fluctuations .
Both cluster abundances and galaxy distributions provide strong constraints on the parameters in the double inflation model assuming \Omega _ { 0 } = 1 standard cold dark matter scenario .
The future satellite experiments to measure the angular power spectrum of the cosmic microwave background will make a precise determination of the model parameters possible .