A fluid management apparatus and a heat management system are provided. The fluid management apparatus includes a connecting piece and a liquid storage part. The connecting piece and the liquid storage part are arranged separately, and a first mating part of a liquid storage part shell is sealedly connected to a first connecting port portion of the connecting piece. A liquid storage cavity of the liquid storage part is in communication with a flow channel of the connecting piece, and the connecting piece, which is provided with a flow channel, is arranged separately from the liquid storage part.