The magnetic fountain effect occurring in superfluid 3He A1 phase is a uniquephenomenon in which the pressure and magnetic field gradients in the chemical potential arebalanced. The effect has been applied extensively to investigate the intrinsic spin relaxation.We constructed a new improved sample cell. The new cell includes an inner detector and anouter reservoir chamber made of ”Macor” which was helpful to reduce the heat release possiblyarising from proton nuclei under high magnetic fields. The measured temperature differencebetween the two chambers was cut to less than 5 μK. The measured relaxation time of thefountain pressure decreases monotonically and smoothly as the temperature is decreased fromTc1 (normal- A1 boundary) towards Tc2 (A1- A2 boundary). As the temperature approachesTc2, tends to vanish smoothly.