It's over recent Census results, which showed a decline in the number of Welsh speakers.
The Welsh Government say the building remains open to staff and visitors as usual.
Cymdeithas are holding a peaceful protest at one of the entrances at the Welsh Government offices in Cardiff. The main reception remains open as usual to all staff and visitors.
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Showers in the north and east will merge into longer spells of rain for a time.
The Environment Agency have issued two Flood Warnings and eight Flood Alerts across Wales.
The four-day event in Portmeirion has become one of the UK's best regarded small festivals.