When a flame is stabilized in a tube of a finite thickness, a conductive heat transfer through the tube significantly changes the wall temperature and affects the flame characteristics. Thus the tube length and thermal boundary conditions affect on the structure of the flame in a conductive tube. A one-dimensional analytical study was conducted by employing two energy equations for tubes and mixtures and a species equation for the mixture. Variation of the maximum temperatures and indicating displacements were observed. A parametric study on the effects of inner Peclet numbers, normalized wall conductivities, and heat transfer conditions of the tube was conducted. This study provides essential data for a more efficient computational simulation of the flame stabilized in conductive tubes.