The present invention generally relates to a precision dry-stack masonry unit made of two spaced-apart face shells and at least one connector joining the face shells. The connector has a top surface, a right surface and a left surface. The top surface of the connector and the face shells form a horizontal channel above the connector, and the right surface and the left surface of the connector and the face shells form vertical channels to each side of the connector. Each of the channels is configured to accommodate one or more reinforcement bars.