Histone H4 is a good substrate in vitro for the protein histidine kinase activity found both in Physarum polycephalum nuclear extracts and in Saccharomyces cerevisiae cell extracts. However, histone H4 in nucleosome core particles is not a substrate for these kinases. Isolated chromatin was also not a substrate for the protein histidine kinase. The results significantly limit possible interpretations of histidine phosphorylation on histone H4 in vivo and provide a new, sharper focus for future work. In addition, a polynucleotide kinase activity was identified in the Physarum extracts.