Existing multimodal sentiment analysis models are effective at capturing sentiment commonalities across different modalities and discerning emotions. However, these models still face significant challenges when analyzing samples with sentiment polarity differences across modalities. Neural networks struggle to process such divergent sentiment samples, particularly when they are scarce within datasets. While larger datasets could help address this limitation, collecting and annotating them is resource-intensive. To overcome this challenge, we proposeTriagedMSA, a multimodal sentiment analysis model with triage capability. Our model introduces theSentiment Disagreement Triage Network, which identifies sentiment disagreement between modalities within a sample. This triage mechanism reduces mutual influence by learning to distinguish between samples of sentiment agreement and disagreement. To process these two sample types, we develop theSentiment Selection Attention Networkand theSentiment Commonality Attention Network, both of which enhance modality interaction learning. Furthermore, we propose theAdaptive Polarity Detection (APD) algorithm, which ensures the generalizability of our model across different datasets, regardless of whether unimodal labels are available. The APD algorithm adaptively determines sentiment polarity disagreement or agreement between modalities. We conduct experiments on three multimodal sentiment analysis datasets:CMU-MOSI,CMU-MOSEIandCH-SIMS.v2. The results demonstrate that our proposed methodology outperforms existing state-of-the-art approaches.