The soldiers believed the plane was flying outside the normal flight path but the airline said the plane never veered of course.
An Asiana Airlines official said: "We checked yesterday through the air force and the airport control centre to make sure there were no abnormalities such as being off course."
According to local reports, marine corps officers will now undergo thorough training on identifying civilian aircraft.
Tension remains high between the two Korean countries, still technically at war as the 1950-53 Korean War ended in a truce rather than a peace treaty.
The North bombed the South Korean island of Yeonpyeong recently after the South test-fired shells into disputed waters.
North Korea was also believed responsibilie for the sinking of a South Korean warship in March 2010 which was hit by a torpedo.
Credit Thanks: news.sky.com
The plane had started descending to Seoul airport