[Problem] To provide a means for producing a medical glass container for which the occurrence of cracking is reduced. [Solution] The method for producing a medical glass container comprises: a first step in which the distal end of an ignited point burner 30 is moved from a standby position where a flame 31 is not in contact with a vial 10 to a position facing an exterior opening 16 of the vial 10 a second step in which the distal end of the point burner 30 is inserted into the interior space 14 of the vial 10 a third step in which the flame 31 is made to collide with an inner surface 15 of the vial while 10 the distal end of the point burner 30 is held in the interior space 14 a fourth step in which the distal end of the point burner 30 is moved from the interior space 14 to the outside thereof and a fifth step in which the distal end of the point burner 30 is moved from the position facing the opening 16 to a standby position. In at least the second step and the fourth step, the flame 31 emitted by the point burner 30 has a lower flame intensity than that of the flame 31 emitted by the point burner 30 and made to collide with the inner surface of the vial 10 in the third step.
