Francis Godschall Johnson (January 1, 1817-May 27, 1894) was a Canadian office holder. He was appointed Lieutenant-Governor of Manitoba on April 9, 1872, but had his commission revoked before he was officially sworn in.

Johnson was born at Oakley House in Bedfordshire, England. His father was Captain of the 10th Hussars, and could afford to educate Johnson at Harrow and in continental Europe.

Johnson moved to Montreal in the 1830s, where he studied law. He was called to the bar in 1839, and became known as a leading figure in criminal law. His career was undoubtedly helped by his bilingualism. On February 11, 1848, he was appointed a Q.C.

Politically, Johnson was a Conservative. He was elected a Vice-President of the British American League in 1849, and opposed the Rebellion Losses Bill later in the same year. He also signed the Annexation Manifesto , for which he was stripped of his Q.C. (which was not restored until 1853).

In 1854, Johnson was commissioned by the Hudson's Bay Company to work as a legal administrator in Assiniboia. He was soon recognized as one of the most competent figures in the Company, and became Assistant Governor of Assiniboia on July 19, 1855. On November 26, he succeeded William Bletterman Caldwell as Governor, also retaining his legal portfolio. He appears to have been popular and respected during his time in the territory.

Johnson returned to Montreal in 1858, and resumed his legal practice. He was appointed a judge in 1865.

In 1870, he was commissioned by George-Etienne Cartier to become the first legal recorder in the new province of Manitoba. He was sworn in on October 19, and sought to develop a functioning legal system in the province.

On October 21, Lt. Governor Adams George Archibald appointed him an Executive and Legislative Councillor in Rupert's Land and the Northwest Territories. This appointment was revoked by the federal government, however, which ruled that Archibald had overstepped his authority in granting it.

On April 9, 1872, Johnson reluctantly agreed to replace Archibald as Lt. Governor of the province. This appointment was also revoked, following opposition in the Canadian House of Commons to a government appointee holding two paid positions. Johnson was never actually sworn into office, despite his continued popularity in the region.

Johnson returned to Montreal later in 1872, and was appointed a judge of the Superior Court. On December 9, 1889, he was appointed its Chief Justice.