Multi-view hashing is a crucial technology for multimedia retrieval because it transforms heterogeneous data from many viewpoints into binary hash codes. However, the existing approaches focus mostly on the complementarity among multiple views while being without confidence fusion. Furthermore, redundant noise is present in the single-view data in real-world application contexts. We present an innovative Adaptive Confidence Multi-View Learning (ACMVL) method to perform confidence fusion and remove extraneous noise. Initially, a confidence network is constructed to eliminate noise data and extract useful information from various single-view features. Moreover, an adaptive confidence multi-view network is utilized to quantify the confidence of each view and further fuse multiple view features using a weighted summation. Here, we propose an Automatic View Confidence Metric (AVCM) as a score for evaluating the confidence of views. Finally, to improve the semantic representation of the fused feature, a dilation network is created. Based on ACMVL, we introduce a novel Adaptive Confidence Multi-View Hashing (ACMVH) method. To our knowledge, we are the pioneers in using confidence learning for multimedia retrieval. Comprehensive experiments on three publicly available datasets demonstrate that our ACMVH outperforms the state-of-the-art methods (maximum improvement of 3.24% on mAP).