The governor said that the storm had caused damage across the state.
The incident was reported around 4:30 in the morning (local time) near Beaver Creek.
The man and woman were identified as 70 and 73 years old respectively. However, the Wright County Clerk's Office said that they cannot disclose their names for privacy reasons.
They were from Manes, Missouri, and were found dead around 8:45 am, according to the state authorities.
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“This is a terrible loss for Wright County," Wright County Clerk Loni Pedersen said in a statement. "This couple were wonderful people who donated their time to serve their community. We will miss them dearly and the service they provided to my office."
Moreover, two other vehicles also swept off roads due to the swift, high water near Beaver Creek, authorities said.
However, three people managed to escape by swimming to the shore, the state highway patrol said.
Meanwhile, two more deaths were reported in St. Louis County on Tuesday, according to the police. In the first case, a woman was found dead in her car when floodwater receded.
Later in the day, the police found a man dead in a creek in the St. Louis area. The authorities said they believed that he had drowned but were waiting for an autopsy.