The Neural Machine-Parsed IcePaHC is a machine-parsed treebank which consists of Icelandic texts from the 13th to 20th century, mostly Icelandic sagas. The texts were parsed using the IceNeuralParsingPipeline, a parsing pipeline which includes an Icelandic model of the Berkeley Neural Parser along with pre- and postprocessing steps. The parser was trained on IcePaHC and the parsing scheme of the treebank is therefore the same, although the treebank does not include empty phrases or lemmas. The treebank includes 52 texts. The total word count is 1,716,429 and the total number of clauses is 167,815.