[Object] To provide a means manufacturing a medical glass container with less generation of a crack. [Solution] A method for manufacturing a medical glass container includes a first process of moving the tip of an ignited point burner 30 from a standby position where a flame 31 does not contact a vial 10 to a position where the tip of the ignited point burner 30 faces an opening 16 in the outside of the vial 10, a second process of inserting the tip of the point burner 30 into an internal space 14 of the vial 10, a third process of applying the flame 31 to an inner surface 15 of the vial 10 while holding the tip of the point burner 30 in the internal space 14, a fourth process of moving the tip of the point burner 30 to the outside from the internal space 14, and a fifth process of moving the tip of the point burner 30 from the position where the tip of the point burner 30 faces the opening 16 to the standby position. At least in the second process and the fourth process, the flame 31 having heating power weaker than the heating power of the flame 31 of the point burner 30 applied to the inner surface of the vial 10 in the third process is ejected from the point burner 30.
