A drawer interlocking mechanism apparatus is applied where a drawer is installed inside an article. A secured plate of the present apparatus is secured at the lateral portion of the article and a sliding plate is connected the present apparatus at the lateral side of the drawer correspondingly to have the sliding plate move on the secured plate indirectly to produce the opening or closing function of the drawer. The sliding plate of the interlocking structure is installed on a single side or both sides of the drawer and also installed at a plurality of drawers in the same way. By means of a preset pull cord of the interlocking structure, a plurality of drawers are connected in series to lock the other drawers synchronously when one of drawers is opened.