Easton's Bible Dictionary (1897)
That perfection of his nature whereby he is infinitely righteous in himself and in all he does, the righteousness of the divine nature exercised in his moral government. At first God imposes righteous laws on his creatures and executes them righteously. Justice is not an optional product of his will, but an unchangeable principle of his very nature. His legislative justice is his requiring of his rational creatures conformity in all respects to the moral law.
His rectoral or distributive justice is his dealing with his accountable creatures according to the requirements of the law in rewarding or punishing them (Ps. 89:14). In remunerative justice he distributes rewards (James 1:12; 2 Tim. 4:8); in vindictive or punitive justice he inflicts punishment on account of transgression (2 Thess. 1:6). He cannot, as being infinitely righteous, do otherwise than regard and hate sin as intrinsically hateful and deserving of punishment. “He cannot deny himself” (2 Tim. 2:13).
His essential and eternal righteousness immutably determines him to visit every sin as such with merited punishment.