Recently, biometric authentication protocols are developed. Security of these protocols originates in compromising no privacy information by wiretapping, malicious access and etc. in the authentication processes. With regard to this, the authors pointed out the risk of excessive collection of privacy information caused by remaining data related to biometric authentication data such as logs and intermediate processing data on the authentication servers. As a requirement against this risk, the authors introduced receipt-freeness of biometric authentication protocols. In this research, the authors develop the above research by investigating so-called coercion-resistance which means resistance against coercing user into executing biometric authentication. This paper describes definition of coercion-resistance against wiretapping coercer, relevance to receipt-freeness, and analysis of coercion-resistance in two IC card based protocols. The results show one of the protocols satisfies receipt-freeness and coercion-resistance, although another one does not satisfy.