  We calculated the magnetic dipole and the electric quadrupole hyperfine
interaction constants of 3s3p $^{3,1}P^o_1$ states and the isotope shift,
including mass and field shift, factors for transitions from these two states
to the ground state 3s$^2~^1S_0$ in Al$^+$ ions using the multiconfiguration
Dirac-Hartree-Fock method. The effects of the electron correlations and the
Breit interaction on these physical quantities were investigated in detail
based on the active space approach. It is found that the CC and the
higher-order correlations are considerable for evaluating the uncertainties of
the atomic parameters concerned. The uncertainties of the hyperfine interaction
constants in this work are less than 1.5\%. Although the isotope shift factors
are highly sensitive to the electron correlations, reasonable uncertainties
were obtained by exploring the effects of the electron correlations. Moreover,
we found that the relativistic nuclear recoil corrections to the mass shift
factors are very small and insensitive to the electron correlations for
Al$^{+}$. These atomic parameters present in this work are valuable for
extracting the nuclear electric quadrupole moments and the mean-square charge
radii of Al isotopes.
