The ability to simulate high-throughput chromatin conformation (Hi-C) data is foundational for benchmarking Hi-C data analysis methods. Here we present a nonparametric strategy named FreeHi-C to simulate Hi-C data from the interacting genome fragments. Data from FreeHi-C exhibit high fidelity to biological Hi-C data. FreeHi-C boosts the precision and power of differential chromatin interaction detection through data augmentation under preserved false discovery rate control.