2004 Suzuki Verona Won't stay on

Engine Mechanical problem
2004 Suzuki Verona 4 cyl Two Wheel Drive Automatic 61, ooo miles

My car will not stay on while on drive and this happens even after I have driven it a while. I thought it was due to the AC being on high but even with the AC off it still turns off. It starts up right away just won't stay on.