Is discoloration after laser hair removal normal? And how can we cure it?

It's difficult to answer without pictures. With lasers, there is the risk of post-inflammatory hyperpigmentation. This can be improved with a combination of lasers, Aerolase, microneedling/prp, skin lightening, peels, and skin care. Sun protection is essential. I recommend getting a formal evaluation with an acne scarring expert. Best, Dr. Emer

It is possible you have underlying melasma and the heat from the laser has caused this. It is also possible there were slight burns with the laser. It is not normal and needs attention. Usually this is treated with retin A, hydroquinone, and chemical peels. 

Thanks for your question and sorry that you are having this problem after your laser hair removal.  You need to follow up with your provider and see what is going on and what has happened – but in all likeliness, you are having post-inflammatory hyperpigmentation, which can happen with any laser or light procedure and should always resolve over time.  I would avoid treating in this area at this time until this has resolved. Good luck.