It is a day when the people in the pre-Islamic days need to observe fast, so he who wishes to observe fast should do so, and he who wishes to abandon it should do so.
ذُكِرَ عِنْدَ رَسُولِ اللَّهِ ﷺ يَوْمُ عَاشُورَاءَ فَقَالَ ذَاكَ يَوْمٌ كَانَ يَصُومُهُ أَهْلُ الْجَاهِلِيَّةِ فَمَنْ شَاءَ صَامَهُ وَمَنْ شَاءَ تَرَكَهُ