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| Year | Name / Event | Description |
|---|---|---|
| 01-08-1798 | French Revolutionary Wars | French Revolutionary Wars: Battle of the Nile (Battle of Aboukir Bay): Battle begins when a British fleet engages the French Revolutionary Navy fleet in an unusual night action. |
| 02-08-1798 | French Revolutionary Wars | French Revolutionary Wars: The Battle of the Nile concludes in a British victory. |
| 03-09-1798 | Battle of St. George's Caye | The week long battle of St. George's Caye begins between Spain and Britain off the coast of Belize. |
| 04-01-1798 | Constantine Hangerli | Constantine Hangerli arrives in Bucharest, Wallachia, as its new Prince, invested by the Ottoman Empire. |
| 04-11-1798 | Siege of Corfu (1798–1799) | The Russo-Ottoman siege of Corfu begins. |
| 05-06-1798 | Battle of New Ross (1798) | Battle of New Ross: The attempt to spread the United Irish Rebellion into Munster is defeated. |
| 05-09-1798 | Conscription | Conscription is made mandatory in France by the Jourdan law. |
| 07-04-1798 | Mississippi Territory | The Mississippi Territory is organized from disputed territory claimed by both the United States and the Spanish Empire. It is expanded in 1804 and again in 1812. |
| 07-05-1798 | French Revolutionary Wars | French Revolutionary Wars: A French force attempting to dislodge a small British garrison on the Îles Saint-Marcouf is repulsed with heavy losses. |
| 07-07-1798 | XYZ Affair | As a result of the XYZ Affair, the US Congress rescinds the Treaty of Alliance with France sparking the "Quasi-War". |
| 09-06-1798 | Irish Rebellion of 1798 | Irish Rebellion of 1798: Battles of Arklow and Saintfield. |
| 10-09-1798 | Battle of St. George's Caye | At the Battle of St. George's Caye, British Honduras defeats Spain. |
| 11-07-1798 | United States Marine Corps | The United States Marine Corps is re-established; they had been disbanded after the American Revolutionary War. |
| 12-06-1798 | Irish Rebellion of 1798 | Irish Rebellion of 1798: Battle of Ballynahinch. |
| 12-10-1798 | Peasants' War (1798) | Flemish and Luxembourgish peasants launch the rebellion against French rule known as the Peasants' War. |
| 14-07-1798 | Alien and Sedition Acts | The Sedition Act of 1798 becomes law in the United States making it a federal crime to write, publish, or utter false or malicious statements about the United States government. |
| 15-02-1798 | Roman Republic (1798–1799) | The Roman Republic is proclaimed after Louis-Alexandre Berthier, a general of Napoleon, had invaded the city of Rome five days earlier. |
| 17-08-1798 | Vietnam | The Vietnamese Catholics report a Marian apparition in Quảng Trị, an event which is called Our Lady of La Vang. |
| 20-02-1798 | Louis-Alexandre Berthier | Louis-Alexandre Berthier removes Pope Pius VI from power. |
| 21-06-1798 | Irish Rebellion of 1798 | Irish Rebellion of 1798: The British Army defeats Irish rebels at the Battle of Vinegar Hill. |
| 21-07-1798 | French invasion of Egypt and Syria | French campaign in Egypt and Syria: Napoleon's forces defeat an Ottoman-Mamluk army near Cairo in the Battle of the Pyramids. |
| 22-08-1798 | Kilcummin, County Mayo | French troops land at Kilcummin, County Mayo, Ireland to aid the rebellion. |
| 23-10-1798 | Ali Pasha of Yanina | The forces of Ali Pasha of Janina defeat the French and capture the town of Preveza in the Battle of Nicopolis. |
| 24-05-1798 | Irish Rebellion of 1798 | The Irish Rebellion of 1798 led by the United Irishmen against British rule begins. |
| 25-05-1798 | Irish Rebellion of 1798 | United Irishmen Rebellion: Battle of Carlow begins; executions of suspected rebels at Carnew and at Dunlavin Green take place. |
| 27-05-1798 | Pitt–Tierney duel | The Pitt–Tierney duel takes place on Putney Heath outside London. A bloodless duel between the Prime Minister of Great Britain William Pitt the Younger and his political opponent George Tierney. |
| 27-05-1798 | Battle of Oulart Hill | The Battle of Oulart Hill takes place in Wexford, Ireland; Irish rebel leaders defeat and kill a detachment of militia. |
| 27-08-1798 | Wolfe Tone | Wolfe Tone's United Irish and French forces clash with the British Army in the Battle of Castlebar, part of the Irish Rebellion of 1798, resulting in the creation of the French puppet Republic of Connacht. |
| 28-11-1798 | John Leamy (merchant) | Trade between the United States and modern-day Uruguay begins when John Leamy's frigate John arrives in Montevideo. |
| 29-05-1798 | Irish Rebellion of 1798 | United Irishmen Rebellion: Between 300 and 500 United Irishmen are executed as rebels by the British Army in County Kildare, Ireland. |
| 31-08-1798 | Irish Rebellion of 1798 | Irish Rebellion: Irish rebels, with French assistance, establish the short-lived Republic of Connacht. |
