A method for manufacturing a medical glass container comprising: a first step of moving a tip of an ignited point burner from a position where a flame ejected from the tip of the point burner does not contact the glass container to a position which is located outside the glass container and in which the tip of the point burner faces an opening of the glass container; a second step of inserting the tip of the ignited point burner into an internal space of the glass container through the opening; a third step of applying the flame ejected from the tip of the point burner to an inner surface of the glass container while holding the tip of the point burner in the internal space of the glass container; a fourth step of moving the tip of the ignited point burner to an outside from the internal space of the glass container through the opening; and a fifth step of moving the tip of the ignited point burner from the position where the tip of the ignited point burner faces the opening of the glass container to the position where the flame ejected from the tip of the point burner does not contact the glass container, wherein the flame ejected from the point burner at least in the second step and the fourth step has heating power weaker than heating power of the flame of the point burner applied to the inner surface of the glass container in the third step, wherein at least in the first step and the fifth step, a shielding mechanism is located near the opening of the glass container so as to prevent the flame ejected from the tip of the point burner from contacting the glass container by the shielding mechanism, wherein a shielding plate capable of blocking the flame ejected from the tip of the point burner is used as the shielding mechanism, and the shielding plate is located between a part of an edge portion defining the opening of the glass container and the tip of the point burner in the first step and the fifth step, wherein the shielding plate is located between an upper side of the edge portion of the glass container and the tip of the point burner in the first step and the fifth step. a first step of moving a tip of an ignited point burner from a position where a flame ejected from the tip of the point burner does not contact the glass container to a position which is located outside the glass container and in which the tip of the point burner faces an opening of the glass container; a second step of inserting the tip of the ignited point burner into an internal space of the glass container through the opening; a third step of applying the flame ejected from the tip of the point burner to an inner surface of the glass container while holding the tip of the point burner in the internal space of the glass container; a fourth step of moving the tip of the ignited point burner to an outside from the internal space of the glass container through the opening; and a fifth step of moving the tip of the ignited point burner from the position where the tip of the ignited point burner faces the opening of the glass container to the position where the flame ejected from the tip of the point burner does not contact the glass container, wherein the flame ejected from the point burner at least in the second step and the fourth step has heating power weaker than heating power of the flame of the point burner applied to the inner surface of the glass container in the third step, wherein at least in the first step and the fifth step, a shielding mechanism is located near the opening of the glass container so as to prevent the flame ejected from the tip of the point burner from contacting the glass container by the shielding mechanism, wherein a shielding plate capable of blocking the flame ejected from the tip of the point burner is used as the shielding mechanism, and the shielding plate is located between a part of an edge portion defining the opening of the glass container and the tip of the point burner in the first step and the fifth step, wherein the shielding plate is located between an upper side of the edge portion of the glass container and the tip of the point burner in the first step and the fifth step.