The present invention relates to an improvement for the production of argon from cryogenic air separation processes. In particular, the improvement provides a better method of thermally linking the top of the crude argon column with the low pressure column. In the improvement, the argon-rich, overhead vapor from the top of the crude argon column is condensed in a boiler/condenser by indirect heat exchange against liquid descending the low pressure column; a portion of the condensed argon-rich, overhead vapor is returned to the top of the crude argon column to provide reflux. The most suitable location for such boiler/condenser is as an intermediate boiler/condenser in the low pressure column, particularly, the section of the low pressure column bounded by the feed point of the crude liquid oxygen from the bottom of the high pressure column and the vapor feed draw line for the crude argon column wherein an adequate temperature difference exists between the descending liquid and the condensing argon.