In this letter, we propose a new sparse linear array (SLA), termed delay coprime array (DCA), and correspondingly develop a low-complexity direction of arrival (DOA) estimation algorithm. In terms of structure, unlike existing SLAs, e.g., coprime array, DCA is composed of two “large-spaced” uniform linear arrays (ULAs) with shifted distance which is coprime with the inter-element spacing in the ULAs. In terms of algorithm, the proposed algorithm involves ambiguity and de-ambiguity stages and significantly improves estimation accuracy due to the active use of phase ambiguity instead of hastily suppressing ambiguity. Numerical results indicate that DOA estimation with DCA has comparable performance as the existing DOA estimation with SLAs, but with much lower complexity and simpler configuration. Admittedly, since the proposed method achieves fast calculation without using difference co-array, it losts the ability to identify more sources. Yet, owing to low complexity and simple configuration, DCA and the corresponding algorithm are expected to play a role in DOA estimation.