  Al$^+$ ions optical clock is a very promising optical frequency standard
candidate due to its extremely small blackbody radiation shift. It has been
successfully demonstrated with indirect cooled, quantum-logic-based
spectroscopy technique. Its accuracy is limited by second-order Doppler shift,
and its stability is limited by the number of ions that can be probed in
quantum logic processing. We propose a direct laser cooling scheme of Al$^+$
ions optical clocks where both the stability and accuracy of the clocks are
greatly improved. In the proposed scheme, two Al$^+$ ions traps are utilized.
The first trap is used to trap a large number of Al$^+$ ions to improve the
stability of the clock laser, while the second trap is used to trap a single
Al$^+$ ions to provide the ultimate accuracy. Both traps are cooled with a
continuous wave 167 nm laser. The expected clock laser stability can reach
$9.0\times10^{-17}/\sqrt{\tau}$. For the second trap, in addition to 167 nm
laser Doppler cooling, a second stage pulsed 234 nm two-photon cooling laser is
utilized to further improve the accuracy of the clock laser. The total
systematic uncertainty can be reduced to about $1\times10^{-18}$. The proposed
Al$^+$ ions optical clock has the potential to become the most accurate and
stable optical clock.
