Sugar-1-kinase with a strict substrate specificity for D-glucuronic acid and ATP. Involved in the biosynthesis of UDP-glucuronic acid (UDP-GlcA), providing nucleotide sugars for cell-wall polymers. May be also involved in a salvage pathway for glucuronic acid (By similarity). ATP + D-glucuronate = 1-phospho-alpha-D-glucuronate + ADP + H(+) Magnesium. Can also use other divalent cations like manganese or cobalt. Belongs to the GHMP kinase family. Truncated N-terminus.