The Battle of Warsaw (Polish: Bitwa Warszawska, Russian: , transcription: Varshavskaya bitva, Ukrainian: , transcription: Varshavska bytva), also known as the Miracle on the Vistula (Polish: Cud nad Wis), was a series of battles that resulted in a decisive Polish victory in 1920 during the PolishSoviet War. Poland, on the verge of total defeat, repulsed and defeated the Red Army.

After the Polish Kiev Offensive, Soviet forces launched a successful counterattack in summer 1920, forcing the Polish army to retreat westward in disarray. The Polish forces seemed on the verge of disintegration and observers predicted a decisive Soviet victory.

The Battle of Warsaw was fought from August 1225, 1920 as Red Army forces commanded by Mikhail Tukhachevsky approached the Polish capital of Warsaw and the nearby Modlin Fortress. On August 16, Polish forces commanded by Jzef Pisudski counterattacked from the south, disrupting the enemy's offensive, forcing the Russian forces into a disorganized withdrawal eastward and behind the Neman River. Estimated Russian losses were 10,000 killed, 500 missing, 30,000 wounded, and 66,000 taken prisoner, compared with Polish losses of some 4,500 killed, 10,000 missing, and 22,000 wounded.

The defeat crippled the Red Army; Vladimir Lenin, the Bolshevik leader, called it "an enormous defeat" for his forces. In the following months, several more Polish follow-up victories secured Poland's independence and led to a peace treaty with Soviet Russia and Soviet Ukraine later that year, securing the Polish state's eastern frontiers until 1939.

The politician and diplomat Edgar Vincent regards this event as one of the most important battles in history on his expanded list of most decisive battles, since the Polish victory over the Soviets halted the spread of communism further westwards into Europe. A Soviet victory, which would have led to the creation of a pro-Soviet Communist Poland, would have put the Soviets directly on the eastern border of Germany, where considerable revolutionary ferment was present at the time.

The Polish–Soviet War (late autumn 1918/14 February 1919 – 18 March 1921) was fought primarily between the Second Polish Republic and the Russian Soviet Federative Socialist Republic in the aftermath of World War I, on territories formerly held by the Russian Empire and the Austro-Hungarian Empire.

On 13 November 1918, after the collapse of the Central Powers and the Armistice of 11 November 1918, Vladimir Lenin's Russia annulled the Treaty of Brest-Litovsk (which it had signed with the Central Powers in March 1918) and soon started slowly moving forces in the western direction to recover and secure the lands vacated by the German forces that the Russian state had lost under the treaty. Lenin saw the newly independent Poland (formed in October–November 1918) as the bridge which his Red Army would have to cross to assist other communist movements and to bring about more European revolutions. At the same time, leading Polish politicians of different orientations pursued the general expectation of restoring the country's pre-1772 borders. Motivated by that idea, Polish Chief of State Józef Piłsudski (in office from 14 November 1918) began moving troops east.

In 1919, while the Soviet Red Army was still preoccupied with the Russian Civil War of 1917–1922, the Polish Army took most of Lithuania and Belarus. By July 1919, Polish forces had taken control of much of Western Ukraine and had emerged victorious from the Polish–Ukrainian War of November 1918 to July 1919. Meanwhile, in the eastern part of Ukraine bordering on Russia, Symon Petliura tried to defend the Ukrainian People's Republic, but as the Bolsheviks gained the upper hand in the Russian Civil War, they advanced westward towards the disputed Ukrainian lands and made Petliura's forces retreat. Reduced to a small amount of territory in the west, Petliura was compelled to seek an alliance with Piłsudski, officially concluded in April 1920.

Piłsudski believed that the best way for Poland to secure favorable borders was by military action and that he could easily defeat the Red Army forces. His Kiev Offensive, considered to have begun the Polish–Soviet War sensu stricto, commenced in late April 1920 and resulted in the takeover of Kiev by the Polish and allied Ukrainian forces on 7 May. The Soviet armies in the area, which were weaker, had not been defeated, as they avoided major confrontations and withdrew.

The Red Army responded to the Polish offensive with successful counterattacks: from 5 June on the southern Ukrainian front and from 4 July on the northern front. The Soviet operation pushed the Polish forces back westward all the way to Warsaw, the Polish capital, while the Directorate of Ukraine fled to Western Europe. Fears of Soviet troops arriving at the German borders increased the interest and involvement of the Western powers in the war. In mid-summer the fall of Warsaw seemed certain, but in mid-August the tide had turned again after the Polish forces achieved an unexpected and decisive victory at the Battle of Warsaw (12 to 25 August 1920). In the wake of the eastward Polish advance that followed, the Soviets sued for peace, and the war ended with a ceasefire on 18 October 1920.

The Peace of Riga, signed on 18 March 1921, divided the disputed territories between Poland and Soviet Russia. The war and the treaty negotiations determined the Soviet–Polish border for the rest of the interwar period. Poland's eastern border was established at about 200 km east of the Curzon Line (a 1920 British proposal for Poland's border, based on the version approved in 1919 by the Entente leaders as the limit of Poland's expansion in the eastern direction). Ukraine and Belarus became divided between Poland and Soviet Russia, which established the respective Soviet republics in its areas of the territory.

The peace negotiations – on the Polish side conducted chiefly by Piłsudski's opponents and against his will – ended with the official recognition of the two Soviet republics, which became parties to the treaty. This outcome and the new border agreed on precluded any possibility of the formation of the Intermarium Polish-led federation of states that Piłsudski had envisaged or of meeting his other eastern-policy goals. The Soviet Union, established in December 1922, later used the Ukrainian Soviet Republic and the Byelorussian Soviet Republic to claim their unification with parts of the Kresy territories where East Slavic people outnumbered ethnic Poles and had remained, after the Peace of Riga, on the Polish side of the border, lacking any form of autonomy.