Itching problem

Hi all,
When ever I sit on the floor, my rabbit comes to greet me and sits on my laps for some time and goes away.
He has never done urine or potty while he sits on my laps or legs(below knee area)

I have noticed that the place where he sits on my legs are itching a lot.

My son/daughter also have the same issue.

I check my rabbits hair so see if there are any fleas, but didn't find any such thing.

Sometimes my rabbits legs are wet as sometimes he walk over his urine.

Could that be possible that due to urine we have this issue.

How old is your rabbit? It is not normal for a rabbit to have urine on him anywhere. Does he have a litter box? Is he litter trained?

Urine on a rabbit for any length of time can cause urine scald - a painful condition for a rabbit.

I'm not sure about why you may be itching, but it seems the first, more important issue would be to determine why there is urine on him. It may just be a matter of providing a litter box (if he doesn't have one) since rabbits train so easily. Here's a "how to" for litter training.

I generally keep rabbit in cage
The bottom part of the cage has a steel grill and below that is a tray
so whenever he urinates it goes down to the tray, but sometimes small drops of urine stays on the grill, and when rabbit put its feet on that area of the grill, it becomes vet

Like blue eyes said, urine staying on the fur like that can cause urine scald and really sore skin for the bunny.
Also having wire bottom cage can cause sore hocks and loss of fur and painful feet for the bunny, and also runs the risk of nails getting stuck in the grill which can be painful too. You would be far better to litter train and clean out that litter tray regularly so the bunny is more comfortable and not wet anymore.

^^ agreed. Take a look at the cages on this site to see how most of us keep our rabbits on solid floor and with a litter box. It really is easier to maintain and is better for your rabbit's comfort.
Just click on the following link:
https://www.rabbitsonline.net/threads/2018-cages.88690/

It's possible your rabbit could have mites and that is what is causing the itching when your rabbit comes in contact with your skin. If your rabbit does have mites, it is treated with ivermectin or Revolution/Stronghold(selamectin). If you don't have the correct otc mite treatments specifically for rabbits, available where you are, I would suggest seeing a rabbit savvy vet to get the problem correctly diagnosed and treated.
http://www.medirabbit.com/EN/Skin_diseases/Parasitic/furmite/fur_mite.htm
http://wildpro.twycrosszoo.org/S/00dis/Parasitic/Cheyletiellosis.htm (for selamectin dose)

https://rabbit.org/vet-listings/

Another possibility could be a contact allergy to your rabbit, though that wouldn't seem as likely to me as mites.

Just adding, rabbits don't usually get fleas. They do get mites but if they have mites- you would probably see some flakey skin or bald spots.

Having a litter box for your rabbits with litter at the bottom and hay on top is a lot better for your rabbit. Keeping your rabbit in an Exercise pen it a really good way to keep a rabbit and less expensive than than a cage.

You could watch youtube videos like this to figure out good ways to keep your rabbit with litter box.

Another thing to consider is an allergy - definitely consider getting tested by an allergist. I was having similar issues, and they tested me for rabbits. Turns out I was allergic to dust, and it was suggested that the dust from the hay could be causing me problems. When I hold our rabbits now, I always make sure that my legs are covered and I haven't had any issues. But before treating for mites or fleas, you might have your bunny get checked by a rabbit savvy vet to confirm either of those like someone else said. I personally would never treat a rabbit unless a rabbit savvy vet said it was necessary.