Experimental and analytical studies for freeze concentration of liquid droplet fallen on a horizontal plate located in a cold room have been performed. The ice formed in this method is so called an ice stalagmite.Ethylene glycol aqueous solutions of 5wt% and 10wt% have been frozen to examine freeze concentration characteristics. It is found that the degree of concentration is affected only by cold room temperature, and high concentration liquid can easily be obtained only by lowering the room temperature. It is also shown that the degree of contaminant of solute in ice is almost proportional to initial droplet concentration. Therefore, the use of lower concentration droplet can produce purer ice, which is good to improve concentration performance in this method of using ice stalagmite.