Griffith was born at Trygarn House in the parish of Bryncroes on the Llŷn Peninsula, Caernarfonshire.
[1] His parents were of humble station, and he received a very elementary education but his artistic talent led to his being taken into service by Thomas Pennant[2] about 1769.
After Thomas' death, Griffith was employed by his son David and produced nearly 200 watercolors in Wales for him between 1805-1813.
[3] On leaving Pennant's service he settled at Wibnant, near Holywell, Flintshire, where he obtained plenty of employment as an engraver.
Griffith also painted watercolours of Welsh scenes, churches, country houses, and portraits, including two self-portraits.