Any process that modulates the frequency, rate or extent of blood vessel branching. [ http://purl.obolibrary.org/obo/go/references/0000058 GOC:nc GOC:BHF GOC:BHF_telomere GOC:TermGenie http://www.ncbi.nlm.nih.gov/pubmed/23201774 ]
Synonyms: regulation of branching involved in blood vessel morphogenesis