The following was printed in Wikipedia, and is being used here to give a brief overview of the case. The full official Project Blue Book case file is available below.
On the evening of November 2, 1957, two immigrant farm workers, Pedro Saucedo and Joe Salaz, called the Levelland police department to report a UFO sighting. Saucedo told police officer A.J. Fowler, who was working the night desk at the police station, that they had been driving four miles (6 km) west of Levelland when they saw a blue flash of light near the road. They claimed their truck’s engine died, and a rocket-shaped object rose up and approached the truck. According to Saucedo, “I jumped out of the truck and hit the dirt because I was afraid. I called to Joe but he didn’t get out. The thing passed directly over my truck with a great sound and rush of wind. It sounded like thunder and my truck rocked from the flash…I felt a lot of heat.” As the object moved away the truck’s engine restarted and worked normally. Believing the story to be a joke, Fowler ignored it. An hour later, motorist Jim Wheeler reported a “brilliantly lit, egg-shaped object, about 200 feet long” was sitting in the road, four miles (6 km) east of Levelland, blocking his path. He claimed his vehicle died and as he got out of his car the object took off and its lights went out. As it moved away, Wheeler’s car restarted and worked normally.
At 10:55 pm a married couple driving northeast of Levelland reported that they saw a bright flash of light moving across the sky and their headlights and radio died for three seconds. Five minutes later Jose Alvarez claimed he met a strange object sitting on the road 11 miles (18 km) north of Levelland, and his vehicle’s engine died until the object departed. At 12:05 am (November 3), a Texas Technological College (now Texas Tech University) student named Newell Wright was surprised when, driving 10 miles (16 km) east of Levelland, his “car engine began to sputter, the ammeter on the dash jumped to discharge and then back to normal, and the motor started cutting out like it was out of gas…the car rolled to a stop; then the headlights dimmed and several seconds later went out.” When he got out to check on the problem, he saw a “100-foot-long” egg-shaped object sitting in the road. It took off, and his engine started running again. At 12:15 am Officer Fowler received another call, this time from a farmer named Frank Williams who claimed he had encountered a brightly glowing object sitting in the road, and “as his car approached it, its lights went out and its motor stopped.” The object flew away, and his car’s lights and motor started working again. Other callers were Ronald Martin at 12:45 am and James Long at 1:15 am, and they both reported seeing a brightly lit object sitting in the road in front of them, and they also claimed that their engines and headlights died until the object flew away.
By this time, several Levelland police officers were investigating the reports. Among them was Sheriff Weir Clem, who saw a brilliant red object moving across the sky at 1:30 am. At 1:45 am Levelland’s Fire Chief, Ray Jones, also saw an object and his vehicle’s lights and engine sputtered. The reports apparently ended soon after. During the night of November 2–3, the Levelland police department received a total of 15 UFO-related reports, and Officer Fowler noted that “everybody who called was very excited.”