text: Bancroft was elected as a Fellow of the Royal Society of Canada (RSC) in 1979 (at the age of 37), and was inducted into the Order of Canada in 2003.
  He was awarded the RSC's Rutherford Memorial Medal in 1980, a Guggenheim Fellowship in 1982/3, and the CIC and Montreal medals of the Chemical Institute of Canada in 1996 and 2002 respectively. The Canadian Light Source annual award for best PhD thesis is named for Bancroft.