There are provided an organism-culture apparatus in which a pooled culture medium and a culturing tissue is not directly contacted, which comprises a culture medium, and a microporous body having the water-absorbing ability, a part of which is immersed in the culture medium, or an intervening body connected to the microporous body which can supply the culture medium to the microporous body by contact between a part of the intervening body and the culture medium, wherein the culture medium is transferred upwardly via communicating pores in the interior of the microporous body to supply the culture medium to an organism tissue or an organism cell placed on a surface of the microporous body, whereby, the organism tissue or the organism cell is cultured, as well as a method of culturing an organism using the same.