Last year the organisation became the first far-right group to be banned in the UK.
A recent clamp-down on neo-Nazi groups was prompted by the murder of Labour MP Jo Cox by extremist Thomas Mair.
Scottish Dawn first came to national attention when it demonstrated against the housing of refugees in Scotland in March.
Members waved yellow flags bearing the “life rune” symbol which also appeared in Nazi propaganda.
Earlier this month four alleged members of the NA were arrested on suspicion on preparing acts of terror.
The group’s members have previously threatened British Jews.
Garron Helm, a NA Merseyside member, was jailed last year for sending antisemitic messages to Jewish MP Luciana Berger in February 2015.
Another member of the group, Jack Renshaw, was reported to the police last year by the CST for antisemitic comments he made in several of his speeches.
NA’s online propaganda material featured violent imagery and language, inferring that violent acts, including the attack on the Pulse Nightclub in Orlando and the murder of Mrs Cox, should be emulated.