The present invention relates to a method and apparatus for continuous recovery of (meth)acrylic acid, and more specifically to a method of continuous recovery of (meth)acrylic acid, including: conducting gas phase oxidation of at least one compound selected from the group consisting of propane, propylene, butane, i-butylene, t-butylene, and (meth)acrolein in the presence of a catalyst to obtain a mixed gas containing (meth)acrylic acid; quenching the (meth)acrylic acid-containing mixed gas to remove high boiling point by-products in the (meth)acrylic acid-containing mixed gas; contacting the high boiling point by-product-free (meth)acrylic acid-containing mixed gas with water or an aqueous solution to obtain an aqueous solution containing (meth)acrylic acid; and purifying the aqueous solution containing (meth)acrylic acid to obtain (meth)acrylic acid.The continuous recovery method of (meth)acrylic acid according to the presentA invention may significantly reduce energy consumption and continuously recover high purity (meth)acrylic acid with excellent production efficiency compared to the previous recovery methods.