Although Moriggl was adept in several media, he is best known as an outstanding carver of wooden sculptures. A prime of example of this work, contained in a private collection in England, is a 60 cm high carving of a Tirolean peasant in the act of releasing a bowling ball. It is carved from a single piece of pearwood, and the wood is stained rather than painted in a variety of muted colours. The exact date of carving is not known, but it is recorded as having been given as a wedding present in 1891. A folkloric "Shoe-slapping Group" is recorded as having been created in 1898. Other notable works had religious themes, including a collection of angels exhibited in Innbruck’s Heimat church (1871), a Virgin (1885), a St. Cecilia (1887), several statues of Christ, and a “Lufterweibchen” created for the Anglers Guild (1903). Also outstanding are a life-sized statue of Mary (and "Immaculata") for a convent in Stams and two angels for the parish church in Nauders.
He also carved wooden tables and cabinet decorations, and created small framed pictures showing coloured Tirolean costumes and folk themes. Many of the latter were made for export to Russia, though these were probably not signed.
Moriggl’s work was presented in exhibitions in Munich in 1876 and in Paris in 1878, where he was awarded a medal and honorary prize.