A new source coding problem is considered for a one-way communication system with correlated source outputs 

 . One of the source outputs, i.e., 

 , must be transmitted to the receiver within a prescribed distortion tolerance as in ordinary source coding. On the other hand, the other source output, i.e., 

 , has to be kept as secret as possible from the receiver or wiretappers. For this case the equivocation-distortion function 

 and the rate-distortion-equivocation function 

 are defined and evaluated. The former is the maximum achievable equivocation of 

 under the distortion tolerance 

 for 

 , and the latter is the minimum rate necessary to attain both the equivocation tolerance 

 for 

 and the distortion tolerance 

 for 

 . Some examples are included.