We show a model of the slow expansion , in which the scale invariant spectrum of curvature perturbation is adiabatically induced by its increasing mode , by applying a generalized Galileon field .
In this model , initially \epsilon \ll - 1 , which then is rapidly increasing , during this period the universe is slowly expanding .
There is not the ghost instability , the perturbation theory is healthy .
When \epsilon \sim - 1 , the slow expansion phase ends , and the available energy of field can be released and the universe reheats .
This scenario might be a viable design of the early universe .