The present invention is related to:(i) matrix metalloproteinase inhibitors containing sulfonylamino acid derivatives of the formula (Ia); wherein R1 is hydrogen, C1-4 alkyl; R2 is hydrogen, C1-8 alkyl etc.; E is -CONR3-, in which R3 is hydrogen, C1-4 alkyl etc., -NR3CO-, -CO-O-, -O-CO- etc.; A is hydrogen, C1-8 alkyl, C3-7 cycloalkyl, or Ar; J is bond, C2-4 alkylene etc.; G is -(CH2)m-, in which m is 2, 3 or 4, orin which R6 and R7 is hydrogen, C1-8 alkyl etc.; and non-toxic salts thereof,(ii) sulfonylamino acid derivatives of the formula (Ib):wherein all the symbols are the same meaning as (i); and non-toxic salts thereof, and(iii) process for the preparation of the compound of the formula (Ib).The compounds of the formula (Ia) are useful for prevention and / or treatment of diseases induced by overexpression and excess activity of MMP. The diseases such as above, for example, are rheumatoid, arthrosteitis, unusual bone resorption, osteoporosis, periodontitis, interstitial nephritis, arteriosclerosis, pulmonary emphysema, cirrhosis, cornea injury, metastasis of, invasion of or growth of tumor cell, autoimmune disease (Crohn's disease, Sjogren's syndrome etc.), disease caused by vascular emigration or infiltration of leukocytes, arterialization.