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