| Max Brauer | |
| Office: | First Mayor of Hamburg |
| President: | Theodor Heuss |
| Chancellor: | Konrad Adenauer |
| Term Start: | 22 November 1946 |
| Term End: | 2 December 1953 |
| Predecessor: | Rudolf Hieronymus Petersen |
| Successor: | Kurt Sieveking |
| President2: | Theodor Heuss Heinrich Lübke |
| Chancellor2: | Konrad Adenauer |
| Term Start2: | 4 December 1957 |
| Term End2: | 31 December 1960 |
| Predecessor2: | Kurt Sieveking |
| Successor2: | Paul Nevermann |
| Birth Date: | 1887 9, df=y |
| Birth Place: | Ottensen, Germany |
| Death Place: | Hamburg, Germany |
| Party: | Social Democratic Party (SPD) |
Max Julius Friedrich Brauer (3 September 1887 – 2 February 1973) was a German politician of the Social Democratic Party (SPD) and the first elected First Mayor of Hamburg after World War II.
In 1923, Brauer was mayor of the independent city of Altona, Prussia, incorporated into Hamburg after 1937. Brauer fled the Nazi regime to the United States in 1933 with a passport of a friend. In 1934 Brauer's German citizenship was revoked. In July 1946 he came back to Hamburg working for the American Federation of Labor. In October 1946 after the election of the Hamburg Parliament, Brauer was elected as the First Mayor of Hamburg. After Brauer complained in a letter to the British forces about the supply shortfall in Hamburg, the British Governor Vaughan Berry stopped the heating in the officers' mess until there were a solution.
On 16 October 1949, the took place where Brauer's party, the SPD, received 65 of the 120 seats. His new Hamburg government ("") started February 1950. In October 1953, the next election took place. The SPD received only 58 of the 120 seats; an alliance including the CDU received the other 62 seats. Kurt Sieveking (CDU) became Brauer's successor; the started in December 1953.On, the SPD received 69 of the 120 seats. Brauer and his started working. Brauer had promised to Paul Nevermann (born 1902) that he would transfer power to him before the end of the term. The 'era Brauer' ended 20 December 1960 with extensive ceremonies.
By the West German federal election in September 1961, Brauer was elected as member of the German Bundestag in (later transformed, see Hamburg-Nord). He was not a candidate for the next federal election in 1965; his successor in his electoral ward Hans Apel (1932–2011) became an important SPD politician and minister (finance, defence).
Brauer is buried in Altona Main Cemetery.
In 1960, Brauer was given the honorary citizen award of Hamburg. The street Max-Brauer-Allee in the Altona borough is named after him.