I haven't eaten asparagus but my urine smells like it very strong in morning?

It is ok: You probably have concentrated urine from lack of intake during the night. Also a high protein content is associat with a larger quantity of ammonia in the urine. Finally a urinary tract infection can present with smelly urine.

Concentrated: This is the time of day when your urine is most concentrated. The reason for the smell could be dietary, could as be infection. See your physician forurinalysis.