Microscopic analysis has been performed in order to investigate effects of the microstructure of the starting feed rods on the morphology of the S-L interface and the stability of the molten zone during single crystal growth of $SrTiO_{3}$ using a floating zone method. Undoped and $Fe_{2}O_{3}$ doped $SrTiO_{3}$ doped $SrTiO_{3}$ specimens, sintered at the different temperatures have been used. In the case of the feed rods sintered at the lower temperature($1400^{circ}C$), the poor densification made the stability of the molten zone difficult to maintain. The feed rods sintered at the higher temperature ($1600^{circ}C$) exhibited the higher density but their molten zone was difficult to maintain due to the presence of the abnormally grown grains. It is concluded that the uniform grain size distribution of the feed rod is the critical factor to maintain the stable molten zone and therefore to give optimum growth condition during FZ single crystal growth.