Correspondence pruning aims to identify inliers from correspondences severely disturbed by outliers. Although Transformers and graph neural networks have shown impressive results in this field, they are either limited by a narrow receptive field or encounter quadratic computational complexity. To tackle this challenge, this work pioneers the integration of state space model into correspondence pruning task, proposing a Mamba-based framework named MambaMatch. Specifically, to address the limitations of the Mamba architecture in local consensus modeling, we proposes a multi-scale scanning strategy. It first employs an adaptive clustering algorithm to map origin correspondences into spatially coherent feature clusters, constructing a dual-representation space encompassing both full-scale and clustered-scale features. Bidirectional scan operations are then performed at both scales: 1) full-scale scan preserves global structural context, and 2) clustered-scale scan enhances local consistency. Subsequently, a Multi-Scale Interaction layer is designed to dynamically fuse dual-scale features via a cross-attention mechanism, further integrated with a Gated Feed-Forward Network to significantly improve the network's feature discrimination capability. Extensive experiments validate that MambaMatch surpasses state-of-the-art approaches across multiple benchmarks for two-view geometry estimation. Furthermore, MambaMatch exhibits robust generalization across diverse scenarios, tasks, and feature extractors. The source code is available at: https://github.com/mxyttkx/MambaMatch.