  The early Universe inflation is well known as a promising theory to explain
the origin of large scale structure of Universe and to solve the early universe
pressing problems. For a resonable inflation model, the potential during
inflation must be very flat in, at least, the direction of the inflaton. To
construct the inflaton potential all the known related astrophysics
observations should be included. For a general tree-level hybrid inflation
potential, which is not discussed fully so far, the parameters in it are shown
how to be constrained via the astrophysics data observed and to be obtained to
the expected accuracy, and consistent cosmology requirements.
