  A first attempt to accommodate the chiral and deconfining phase transitions
of QCD in the bottom-up holographic framework is given. We constrain the
relation between dilaton field $\phi$ and metric warp factor $A_e$ and get
several reasonable models in the Einstein-Dilaton system. Using the potential
reconstruction approach, we solve the corresponding gravity background. Then we
fit the background-related parameters by comparing the equation of state with
the two-flavor lattice QCD results. After that we study the temperature
dependent behavior of Polyakov loop and chiral condensate under those
background solutions. We find that the results are in good agreement with the
two-flavor lattice results. All the studies about the equation of state, the
Polyakov loop and the chiral condensate signal crossover behavior of the phase
transitions, which is consistent with the current understanding on the QCD
phase transitions with physical quark mass. Furthermore, the extracted
transition temperatures are comparable with the two-flavor lattice QCD results.
