| Election Name: | 1937 Wandsworth Central by-election |
| Type: | parliamentary |
| Country: | United Kingdom |
| Seats For Election: | Constituency of Wandsworth Central |
| Ongoing: | no |
| Previous Election: | 1935 United Kingdom general election |
| Previous Year: | 1935 |
| Election Date: | 29 April 1937 |
| Candidate1: | Harry Nathan |
| Party1: | Labour Party (UK) |
| Popular Vote1: | 12,406 |
| Percentage1: | 51.0% |
| Swing1: | 9.6% |
| Candidate2: | Roland Jennings |
| Party2: | Conservative Party (UK) |
| Popular Vote2: | 11,921 |
| Percentage2: | 49.0% |
| Swing2: | 9.6% |
| MP | |
| Posttitle: | Subsequent MP |
| Before Election: | Henry Jackson |
| Before Party: | Conservative Party (UK) |
| After Election: | Harry Nathan |
| After Party: | Labour Party (UK) |
| Turnout: | 63.2% (1.8%) |
| Map Size: | 200px |
| Next Election: | 1940 Wandsworth Central by-election |
| Next Year: | 1940 |
The 1937 Wandsworth Central by-election was held on 29 April 1937. The by-election was held due to the death of the incumbent Conservative MP, Henry Jackson. It was won by the Labour candidate Harry Nathan.