Recently, there have been many studies on constructing cryptographic primitives that are secure even if some secret information leaks. In this paper, we consider the problem of constructing public-key encryption schemes that are resilient to leaking the randomness used in the encryption algorithm. In particular, we consider the case in which public-key encryption schemes are constructed from the KEM/DEM framework, and the leakage of randomness in the encryption algorithms of KEM and DEM occurs independently. For this purpose, we define a new security notion for KEM. Then we provide a generic construction of a public-key encryption scheme that is resilient to randomness leakage from any KEM scheme satisfying this security. Also we construct a KEM scheme that satisfies the security from hash proof systems.