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 After the Abbey, Becket’sChapel is the town’s oldest surviving building.
The Trustees of the Old Grammar School Foundation own the building, but now
use it only as a source of income for their principal aim of making educational grants. Wymondham Arts Forum leased the building from 2008, using it as a gallery, and for small musical and spoken word events.

The grade 1 listed building was founded as a chantry in 1174 by William D'Albini, the grandson of the William D’Albini who founded the Abbey. During the Middle Ages it served as a chapel for the many town guilds. After the chantries were suppressed by Edward VI in 1547 it became a grammar school. The school moved out for a period during the 1800s, before finally vacating it at the beginning of the twentieth century.

The building was substantially modified during the early fifteenth century, when the internal arches were installed, and the hammerbeam roof was inserted.

During the 19th century Becket’s Chapel and the surrounding buildings were used for a variety of town functions, including as a lock-up and a home for the town’s fire engine. According to a report, now in the Abbey muniment room, in the mid 1850s the interior space 'was divided in length by a rough thin partition, and in height by a floor, now decayed. The space above the floor is not tenantable. The space below is used as a public coal cellar. It is surrounded by cottages and other buildings as indicated in the sketch.'

It was substantially renovated and restored in the 1870s, to designs by the Wymondham-born architect and designer Thomas Jeckyll, although not all of his intentions were realised.

The Norfolk Library Service occupied the building from 1949 to 2008.