A stackable building block 1102 for constructing a masonry wall includes a front section 502 having an outer surface, an inner surface, a bottom surface, and a top surface. The top surface may be divided into a higher surface 1111 positioned between two lower surfaces 1109. The building block also has a rear section 504 substantially parallel to the front section having an outer surface, an inner surface, a bottom surface, and a top surface. Two or more webs 1106 coupling the inner surface of the front section to the inner surface of the rear section have a top surface and a bottom surface. Two or more pairs of lugs 508 may extend above the top surface of the front section and the top surface of the rear section. During manufacturing the higher surface of the top surface is ground to a precision height. During assembly of the stack building block, a thin set mortar, grout or adhesive is used between successive courses.
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