Source: Tafsir al-Ahlam al-Kabir (Ibn Sirin)
The stairs (ladder) in a dream indicate the means of elevation in religion and worldly life. Ascending them indicates gaining high status, and descending them indicates a decline.
Source: Ta'tir al-Anam fi Ta'bir al-Manam (Al-Nabulsi)
Stairs indicate travel or a servant. Stairs of clay indicate authority with righteousness in religion, and of wood indicate authority with hypocrisy.
Source: Al-Isharat fi Ilm al-Ibarat (Ibn Shahin)
Stairs are interpreted as safety and victory. Ascending them is elevation, and descending them is a decline. Falling from them indicates failure and loss.