| 3 | 1834 | - 1834: Babbage invents forerunner of the computer
- 18 Mar 1834: 'Tolpuddle Martyrs' transported (to Australia) for Trades Union activities
- 1 May 1834: Slavery abolished in British possessions
- 16 Jul 1834—14 Nov 1834: William Lamb, 2nd Viscount Melbourne, UK Prime Minister (Whig)
 William Lamb, 2nd Viscount Melbourne
- 14 Nov 1834—10 Dec 1834: Arthur Wellesley, 1st Duke of Wellington, UK Prime Minister (Tory)
 Arthur Wellesley, 1st Duke of Wellington
- 10 Dec 1834—8 Apr 1835: Sir Robert Peel, 2nd Baronet, UK Prime Minister (Conservative)
 Sir Robert Peel, 2nd Baronet
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