Physical attributes, including kernel morphology, are used to grade wheat, and indicate wheat milling and baking quality (MBQ). Using a recombinant inbred population derived from a soft by hard wheat cross, this study quantified kernel traits' sources of variation, studied their heritability, and relationships between morphological and MBQ traits. Transgressive segregation occurred for all traits. Thousand-kernel weight (TKW) and kernel texture (NIR-T) were primarily influenced by genotype and test weight (TW) mainly by year. NIR-T had the highest heritability. Low genetic correlation (GCOR) between kernel length (LEN) and width (WID) suggest independent inheritance. NIR-T and LEN, or WID, showed low GCOR. Thus, it is genetically feasible to produce cultivars with any kernel texture and LEN, or WID, combination. No GCOR was found between TW and flour milling yield (FY), TKW, NIR-T or kernel morphology. GCOR showed that harder wheats had greater FY. Traits' low correlations call for studies clarifying the efficacy of using kernel traits in wheat classification or end-use quality prediction.