Currently, Vietnam`s Securities law 2019 has included some more regulations about conditions of fund certificate’s initial public offering. However, in reality, Securities law 2019 still carry several limits, inadequacy and not yet sensible. Therefore, the article studies the conditions for the initial public offering of fund certificates in the Securities law 2019, thereby, proposing some solutions to ensure that the initial issuance of the fund certificates is effective, safe and help maintain the stability of the Vietnam`s securities market.