Local adaptation to temperature is essential for woody plants to against changeable climate and safely survive the winter. To uncover the specific molecular mechanism of low temperature adaptation in woody plants, we performed selective-sweep analysis and genome-wide association study (GWAS) on a wild woody plant naturally distributed in different climate zones and latitudes. We sequenced a core collection of 134 accessions selected from 494 paper mulberry (Broussonetia papyrifera L.), phenotyped the accessions in high latitudes of 40º N for two overwintering traits. We further performed genome-phenotype and genome-environment associations, and genome-wide scans for temperature selection. The population structure analysis indicated that accessions showed forceful geographic distribution patterns because of the adaptation to local climate. We detected 75 selective regions possibly undergone temperature selection and identified 14 trait-associated SNPs corresponded to 16 candidate genes. Meanwhile, low temperature adaptation was also supported by other three SNPs with values lower than threshold but harboring different primary genotype among geographic groups. Overall, we propose a possible network of cold signal perception and responses in woody plants, some genes are considered unique to woody plants while others have been studied in herbs, which highlighting a key hit for studying the specific molecular mechanism of low temperature adaptation or overwintering in woody plants. 1 | INTRODUCTION Local adaptation is a critical evolutionary process that allows plants to grow better to have large geographic ranges by generating adaptive genetic variation (Lobo et al., 2018; Lasky et al., 2015). In the natural world, cold stress frequently governs the growth, development and distribution of plants (Yang et al., 2019). By long generation times, plants have adapted to local low-temperature and generated temperature-dependent variation of cold tolerance (Pluess et al., 2016). Previous studies have shown that the low-temperature signals can be perceived by some cold sensors, such as COLD1 (chilling tolerance divergence 1), transmitted downstream to initiate multiple responses, and then induce the expression of CBFs(C-repeat binding factor) and cold-responsive genes (CORs) (Ding, Shi, & Yang, 2020). However, the most of the researches of plant cold tolerance are focus on model plants or crops, such as Arabidopsis, rice and maize (Gao, Ma, Wu, Zhou, & Zhang, 2019). Nevertheless, the molecular regulatory mechanism of cold responses between woody plants and herbs are significantly different because of the existing of cold acclimation, dormancy and overwintering (Wisniewski, Nassuth, & Arora, 2018), but there is lack of systematic study on the responses to low temperature in woody plants. Tree species cover approximately 30% of land surface (Bonan, 2008), having great economic value and vast ecological importance, which can substantively impact the global carbon cycle (Alberto et al., 2013). As long-lived organisms, woody plant...