He says the men assaulted him, knocking him unconscious, and he and his son were dropped off in the Sugar Land area, but the abductors kept Maleah and drove off.
Vence described the three men as Hispanics in their 30s and driving a 2010, blue Chevrolet crew cab pickup truck.
Police said Vence's Nissan Altima is also missing.
At a media conference police say they do not know the motive behind the kidnapping.
Authorities also do not know the license plate of the kidnapping car.
Timeline of Maleah's disappearance according to her stepfather:
• Vence said he was driving a silver Nissan Altima and that he was on his way to the George Bush Intercontinental Airport to pick up Maleah's mother with his 2-year-old son and Maleah, according to Sgt. Mark Holbrook.
• Vence said he heard a "pop," pulled over on Greens Road and Highway 59 and noticed he had a flat tire, Holbrook said. Vence then told detectives that the blue pickup truck pulled up behind him and two Hispanic men jumped out of the vehicle and told him that Maleah looked "very nice and very sweet," Holbrook said.
• Vence told investigators that one of the men hit him on the head and he was knocked unconscious, Holbrook said. Vence reported that he was in and out of consciousness but woke up inside the pickup truck with the three kidnappers with his son and Maleah inside before losing consciousness again, Holbrook said.
• Vence told detectives that he woke up at 6pm Saturday on Highway 6 in Sugar Land with his 2-year-old son, officials said.
• Vence said he tried to summon help but no one helped him, so he went to Methodist Hospital in Sugar Land and arrived there around 10pm with his son, according to police.
Maleah was last seen wearing a pink bow in her hair, a light blue zip-up jacket, blue jeans and gray, white and pink sneakers.