The Chronicle of Alberic de Trois-Fontaines in 1193 names "dux Matheus et Robertus" as sons of "ducis Symonis". The Genealogica ex Stirpe Sancti Arnulfi names "Matheum ducem" as son of "Symonem ducem". “Symon dux et marchio, Aleidis ducissa, Mathœus puer...” subscribed the charter dated 1122 under which “Symon...Lotharingorum dux et marchio et Aleidis conjux eius et ducissa” confirmed the possessions of Chaumousey abbey.
He succeeded his father in 1138 as MATHIEU I Duke of Lorraine. “Matheus...Lotharingorum Dux et marchio” donated property to Tart abbey, with the consent of “uxoris mee Berthe...fratris mei Balduini et Agathe sororis mee”, by charter dated 1142. "Matheus Lotharingorum dux et marchio" donated property "loco predium de Wulvelingen" to Kloster Stürtzelbronn, with the consent of "coniugis mee Berthe et Balduini fratris mei", for the soul of "progenitoris mei Symonis", by charter dated 13 Jan 1143, which names "Theodericus…comes…cum uxore sua Adelheide et filio suo Gotefrido". He founded the abbey of l'Etange in 1148. “Matthæus...dux Lotharingiæ et marchio” confirmed the possessions of the abbey of Bouxières-aux-Dames donated by “pater meus Simon et avus meus Theodericus”, at the request of “patruæ meæ dominæ Haræ abbatissæ sanctæ Mariæ de Monte”, by charter dated 21 Mar 1156, in the presence of “uxore mea Bertha”.
He founded the abbey of Clairlieu in 1159. “Matthæus Lotharingiæ dux et marchio” granted toll exemptions at Neuf-château to the abbey of Saint-Bénigne de Dijon, with the consent of “dominæ Berthæ sucissæ uxoris meæ et Roberti fratris mei et filiorum meorum Simonis et Friderici”, by charter dated 14 Oct 1166. “Matthæus Lotharingorum dux et marchio” donated “ductu aquæ molendini...Farros-Moulin” to Saint-Dié, in the presence of “uxore mea Bertha et filiis meis Matthæo et Judith comitissa Burgundiæ”, by charter dated 1170. “Matthæus Lotharingiæ dux et marchio” confirmed rights to Clairlieu abbey, with the consent of “uxoris meæ et filiorum meorum Simonis...Friderici et Matthæi”, by charter dated 1172.
The necrology of Gorze records the death "III Id Mai" of "Matheus dux". The Obituaire de Saint-Mansuy records the death "14 May" of "Matthæus dux". 1