AsalamualikumWhat is the islamic ruling on keeping fake (artificial) plants for decorative purpose?

All perfect praise be to Allah, The Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad is His slave and Messenger.

If you are asking about the ruling on purchasing and having artificial plants, then this is permissible and there is nothing wrong with it, provided that this does not reach the extent of extravagance by spending large amounts of money in buying them.

The same ruling also applies to possessing depicted images of plants. Ibn ‘Abbaas said to the man who depicts images: “If you have to do it at all, then paint the pictures of trees and lifeless things (i.e. non-living things).” [Muslim]

Allah knows best.