The Runestones of Högby are runestones located in the village of Högby in Östergötland, Sweden, but the name Högby runestone () usually refers to the notable Ög 81. It is famous for its eloquent epitaph in fornyrðislag for all the five sons of a man. The runestone was found when the church was demolished in 1874. Fragments of some other runestones were found as well. The Rundata project dates them to the late 10th century.
The following presentations show the runic inscription transliterated into Latin script, followed by transcriptions into Old East Norse dialect of Old Norse, and it ends with a translation into English.
Ög 81
right|200px|thumb|Side A of the runestone
right|200px|thumb|Side B of the runestone
The Högby rune stone is in style Pr1. It commemorates Assur, one of the first Varangians who is known to have died in the service of the Byzantine Emperor, and he is estimated to have died , or in the late 10th century. He was one of the sons of the "good man" Gulli, and the rune stone describes a situation that may have been common for Scandinavian families at this time: On the reverse side of the stone, she inscribed how her other uncles had died in fornyrðislag. Assur had entered into the service of a more powerful liege and died for the Byzantine Emperor. Halfdan may have died either on Bornholm or in a holmgang, and where Kári died is not certain either.