The Columbus Dispatch reports that the assembly plants in Marysville and East Liberty - both northwest of Columbus - also broke annual production records last year.
The automaker exported 108,705 vehicles in 2013 and imported 88,537.
Of the total exports, nearly two-thirds - 69,680 vehicles - were assembled in the Ohio plants. They went to 40 countries.
The Honda Accord is assembled at Marysville, and its top crossover, the CR-V, is assembled at East Liberty.
Honda has about 13,700 employees in Ohio. In addition to the assembly plants, it has an engine plant in Anna, a transmission plant in Russells Point and other offices.
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