The problem of hydrogen-like systems has been extensively studied. Neutral donor and negative donor ion on the heterointerface in magnetic fields are investigated in this paper. The influence of magnetic and potential well has been calculated together. With the increasing of magnetic field

we find that the effect of magnetic fields makes the eigenenergy of

D

0

increases more and more. The binding energy increases follo-wing the strength of magnetic fields also. But the increasing rate of the binding energy decreases along the growth of fields. For

D

-

center

at zero field

there is only a singlet bound state but no bound triplet state exists. The action of the magnetic fields makes the triplet state of

D

-

change from unbound state to bound state. It is very important for the studying of the energy about hydrogen-like systems like

D

-

center. We choose two different wave functions for different magnetic fields. Analytic results are obtained for the applicable range of two different wave functions. Using a variational method

we have calculated the ground energies and the binding energies of

D

0

center and

D

-

center for the spin-triplet state of

L

=-1 in this structure. The optimum of four parameters about the orbit of

D

-

center and two parameters of

D

-

center were presented. We found that with the growth of the magnetic fields

the inner and outer orbits are compressed

the inner orbit of

D

-

is alike to the orbit of

D

0

.The extend parameters of the outer orbit are similar to the value of cyclotron radius. At zero field

the longitudinal parameter of the outer orbit extend to infinite. According to calculation

we get the corresponding threshold value of the magnetic fields at which the triplet state transforms from unbound state into bound state.