I was traveling down Interstate 59 from Tuscaloosa AL,to Hattiesburg MS and right at the intersection where 159 and I20 split. Over the tree tops I saw 4 very large and bright lights equal distance apart. I would estimate the lights were approximately one quarter mile away and I estimate 300 to 400 feet above the ground. I pulled over to look at the lights and my wife at that time got out to look at them. I traveled this way on a fairly regular basis as I played in a band and was traveling back home when we sighted these lights. There was an military airfield very close to this. We watched the lights for 15 to 20 minutes. We did not hear any sound and saw no other traffic or aircraft while watching. We decided to go on but before we could leave the object shot straight up to a high distance and stopped fora couple of seconds then shot away up disappearing in just a second. We got back in the car and went on home. I also saw craft at a different time and place that was near Dexter MS. This was early in the morning and I had gone deer hunting. I noticed a light moving slowly just above the horizon and would dip below the horizon and come back up in a different place and moved back and forth for about 30 minutes then as it was just starting to see daylight the object just started going up and disappeared fairly quickly.