In global communication environment, signature computation will be frequently performed on a relatively insecure device that cannot be trusted all times to maintain the secrecy of the private key. To deal with this, Dodis et al.  proposed a strong key-insulated signature schemes whose goal is to minimize the damage caused by secret-key exposures. This environment will become more important when we focus on real time communication like telephony, TV shopping, electronic voting etc. Any flaws in the authentication system cause a critical damage to the real time environment. Considering this scenario we proposed a KIS scheme based on elliptic curve cryptography, which minimizes the damage of key exposer. Its security is based on elliptic curve discrete logarithm problem (ECDLP) assumption, and efficient in terms of computational cost and signature size.