In a method of producing a spacer for a display apparatus by heat drawing a base glass material having a cross section with different dimensions in a longitudinal and lateral directions and then cutting into a desired length, a base glass material in which a high-viscosity glass material is combined on both ends of a low-viscosity glass material is drawn within a temperature range in which both glass materials have different viscosities. Such method avoids a deformation of the spacer such as an expansion or a rounding at the longitudinal ends in the cross section of the spacer or a constriction in an intermediate portion in the longitudinal direction.