Harmonizing the style of all the furniture placed within a constrained space/scene has been regarded as one of the most important tasks in interior design. Most previous style analysis works measure the style similarity or compatibility of the objects based on predefined geometric features extracted from 3D models. However, 'style' is a high-level semantic concept, which is difficult to be described explicitly by handcrafted geometric features. Deep neural network has been claimed to have more powerful ability to mimic the perception of human visual cortex. Therefore, in this work we utilize Triplet Convolutional Neural Network (Triplet CNN) to analyze style compatibility between 3D furniture models of different classes (e.g., a table and a lamp). It should be noted that analyzing the style compatibility between two or more furniture of different classes is quite difficult, as the given furniture may have distinctive structures or geometric elements. We conducted experiments based on a collected dataset containing 420 textured 3D furniture models. A group of raters were recruited from Amazon Mechanical Turk (AMT) to evaluate the comparative suitability of paired models within the dataset. The experimental results reveal that the proposed furniture style compatibility method based on deep learning is better than the state-of-the-art method and can be used for furniture recommendation.