The invention relates to the field of chemical industry, in particular to an apparatus and method for producing 3-acetyl-1-propanol by continuous hydrogenation of 2-methylfuran. The method comprises metering a mixture of water, a solvent and 2-methylfuran with a metering pump, feeding the metered mixture and metered hydrogen into a reactor, processing with an atomizer, holding certain temperatureand pressure, carrying out hydrogenation in a fixed bed in the atomized state, discharging the reacted liquid directly into a gas-liquid separator, wherein the discharged liquid is in gas-liquid mixedform, discharging the liquid part from the bottom of the gas-liquid separator after the discharge liquid enters the gas-liquid separator, neutralizing with a secondary reactor, and carrying out subsequent distilling and rectifying; processing hydrogen from the upper portion of the gas-liquid separator through a condenser, further cooling residual liquid in the reacted liquid, reserving in a liquid phase, and feeding non-condensed hydrogen into a hydrogen compressor through a hydrogen return pipe for reuse. The feeding quantity is controlled via the metering pump; the discharging quantity is controlled through a liquid level in the gas-liquid separator; therefore, balance is maintained.