Transformation of the widely used Pedersen's Verifiable Secret Sharing (Pedersen-VSS) to Pedersen-VSS-General secure against general adversary is first presented. Then a misunderstanding about the use of zero-knowledge (ZK) proof in the DL-Key-Gen scheme proposed by R. Canetti etc. is pointed out, and an improvement to it is made. An adaptively secure distributed key generation scheme against general adversary without the assumption of erasure is developed. A detailed black-box simulator for the security proof of the proposed scheme is also given.