But he said the Land Transport Act was unlawful and Parliament had no authority to enact it, the decision said.
Brooker argued that the declaration of full sovereignty over New Zealand by Lieutenant-General William Hobson in 1840 was on behalf of the British Crown, and only it had sovereignty.
"The courts have consistently held that challenges to the sovereignty of Parliament, and validity of Acts of Parliament (whether in the context of Maori sovereignty arguments, or any other challenge to the sovereignty of the New Zealand Parliament) cannot succeed," the decision said.
Brooker applied for leave to appeal five days out of time.
The Court granted an extension of time, but dismissed his application for leave.