He was born at Haarlem and was educated by Cornelis Schoneus at the University of Leiden, where he formed a close intimacy with Daniel Heinsius. In 1599 he married Anna van der Aar, and from 1611 to 1613, he was the headmaster of the Latin School in Duisburg, now Landfermann-Gymnasium. He belonged to the party of Oldenbarnevelt and Grotius and brought down the displeasure of the government by a copy of Latin verses to honour of their friend, the Remonstrant Leiden pensionaris Rombout Hoogerbeets. Scriverius' poems were considered libelous and he was fined 200 guilders, but when the councilmen came to collect, Scriverius directed them to the kitchen to collect pots and pans, which were not worth enough money. His wife then directed the gentlemen to the books in the library by claiming that it was the books that caused her husband to write the poems and so proceeds from a book sale should pay for the fine on them. Scriverius and his wife enjoyed a long marriage of 57 years and had at least 8 children. Their portraits were painted on the occasion of their 25th wedding anniversary by Frans Hals.
He is best known as a scholar by his notes on Martial, Ausonius, the Pervigilium Veneris; editions of the poems of Joseph Justus Scaliger (Leiden, 1615), of the De re militari of Vegetius Renatus, the tragedies of Seneca (P. Scriverii collectanea veterum tragicorum, 1621), &c. His Opera anecdota, philologica, et poetica (Utrecht, 1738) was edited by A. H. Westerhovius, and his Nederduitsche Gedichten (1738) by S. Dockes.
He made many valuable contributions to the history of Holland: Batavia Illustrata (4 parts, Leiden, 1609); Corte historische Beschryvinghe der Nederlandscher Oorlogen (1612); Inferioris Germaniae . . . historia (1611, 4 parts); Beschryvinghe van Out Batavien (Arnheim, 1612); Het oude Goutsche chronycxken van Hollandt, as editor, and printed at Amsterdam in 1663; and Principes Hollandiae Zelandiae et Frisiae (Haarlem, 1650), translated (1678) into Dutch by Pieter Brugman.
See also Peerlkamp, Vitae Belgarum qui latina carmina scripserunt (Brussels, 1822), and J. H. Hoeufft, Parnassus latino-belgicus (Amsterdam, 1819).