Born in Grey County, Ontario, Brockebank moved to Saskatchewan with his parents in 1911 to a homestead near North Battleford. After returning from service in World War I he established his own farm near Bjorkdale in northeastern Saskatchewan.[1]
In 1941, he became Leader of the Opposition when party leader George Hara Williams resigned his seat to enlist in the Canadian Army during World War II. He was defeated in his attempt to win the party leadership by Tommy Douglas in 1942 and again in 1943 but remained Leader of the Opposition until 1944 as Douglas did not have a seat in the provincial legislature. When the CCF formed government for the first time following the 1944 provincial election Douglas appointed Brockelbank to Cabinet as Minister of Municipal Affairs. He became Minister of Natural Resources following the 1948 election and retained that position for fourteen years. As Natural Resources minister, Brockelbank oversaw the growth of the potash and oil industries in the province.[1]
In 1962 Douglas' successor as Premier, Woodrow Lloyd, appointed Brockelbank to the position of Provincial Treasurer and Deputy Premier.[1]
The Saskatchewan CCF-NDP (as it had become known following the creation of the federal New Democratic Party (NDP) was defeated by the Saskatchewan Liberal Party in the 1964 general election but Brockelbank retained his seat and moved to the opposition benches. He retired at the 1967 general election but remained active with the NDP until his death ten years later.[1]
Brockelbank died at the age of 79 after being involved in a car accident.[2]
His son John Edward also served in the Saskatchewan assembly.[2]