put it in a bag with no air holes and add cat litter. Shake well at intervals and leave overnight. Next day take out of bag and shake really well. You should notice a considerable difference but you may need to repeat the procedure.
Thanks so much for all your really speedy replies, I will certainly give them a go. Forgot to say though that its a white bear and is looking a bit yellow, dont suppose there is anything I can do about that? Or is there?
Thought about surface washing it but like DT says, you have to be so careful with them or you wipe out their value in an instance. (any other 'soft toys' just go straight in the washer when they look a bit grubby!!)
Have you considered using a steam cleaner? I have of those and used it to clean and freshen up my daughter's soft toys that couldn't be put in the washer. Or maybe put some bicarbonate of soda in a bag and put the bear inside and give it a good shake and leave it for a while then take it out and give it a good going over with a vacuum cleaner
what about using baby powder it may help if you used a little every day on it it would take away the smell of the smoke of the fur of the bear for you or is there a website for steiff bears and see if it gives any information to help you