MicroRNAs (miRNAs) play pivotal roles in growth, development, and stress responses. However, the regulatory function of miRNAs in early weaned goats remains unclear. Deep sequencing comparison of mRNA and miRNA expression profiles showed that 18 miRNAs and 373 genes were differentially expressed in pre- and post-weaning Chongming white goats. Bioinformatics analysis indicated that these differentially expressed genes are involved in cellular processes, developmental processes, and growth in terms of biological process analysis. KEGG analysis showed that downregulated genes were enriched in salivary secretion, bile secretion, vascular smooth muscle contraction, and calcium signaling pathways. Additionally, a miRNA-mRNA co-expression network of the 18 dysregulated miRNAs and their 107 target mRNAs was constructed using a combination of Pearson’s correlation analysis and prediction by miRanda software. Among the downregulated miRNAs, two (chi-miR-206 and chi-miR-133a/b) were muscle development-related and the others were cell proliferation associated. Further RT-qPCR analysis confirmed that downregulated miRNAs (chi-miR-99b-3p, chi-miR-224, and chi-miR-10b-5p) were highly expressed in muscle tissues (heart, spleen, or kidney) of the rapid growth period (7-month old) in Chongming white goats. The results of the present study suggested that weaning induced cell proliferation repression in post-weaning goats, providing new insight into the mechanism of muscle development of goats, although additional details remain to be elucidated in the future.