Question

Some plants have leaves that are not Green in colour do such plants perform photosynthesis explain giving reason

Answer 1

No, plants which don't have green leaves generally don't perform photosynthesis. This because, rhe green color of the leaves is due to a pigment present in it: chlorophyll.
Absence of this pigment means that the leaves, won't be green in color.
Chlorophyll os an essential component and requirement for photosynthesis to occur, so its absence means a difficulty in achieving the process of photosynthesis.

Answer 2

Non-green leaves with chlorophyl: There are leaves that don't appear green, but do have chlorophyl and therefore can conduct photosynthesis. (See, for instance, refraction effects in white caladiums or the link in the answer by Resonating).

Non-green leaves without chlorophyl: There are leaves that don't appear green because they have no chlorophyl, and so do not conduct photosynthesis. (See, for instance, parasitic plants like the Oronbanche