Kuching (/ˈkuːtʃɪŋ/ KOO-ching, Malay pronunciation: [ˈkut͡ʃiŋ] ^ⓘ), officially the City of Kuching, is the capital and the most populous city in the state of Sarawak in Malaysia. It is also the capital of Kuching Division. The city is on the Sarawak River at the southwestern tip of Sarawak on the island of Borneo and covers an area of 431 km² (166 sq mi) with a population of about 162,843 in the Kuching North administrative region and 351,815 in the Kuching South administrative region—a total of 514,658 people.

Kuching was founded by the representative of the Sultan of Brunei in 1827. It was the third capital of Sarawak in 1827 during the administration of the Bruneian Empire. In 1841, Kuching became the capital of the Kingdom of Sarawak after the territory in the area was ceded to James Brooke for helping the Bruneian Empire in crushing a rebellion particularly by the interior Borneo-dwelling Land Dayak people who later became his loyal followers after most of them were pardoned by him and joined his side. The town continued to receive attention and development during the rule of Charles Brooke such as the construction of a sanitation system, hospital, prison, fort, and a bazaar. In 1941, the Brooke administration had a Centenary Celebration in Kuching. During World War II, Kuching was occupied by Japanese forces from 1942 to 1945. The Japanese government set up a Batu Lintang camp near Kuching to hold prisoners of war and civilian internees. After the war, the town survived intact. However, the last Rajah of Sarawak, Sir Charles Vyner Brooke decided to cede Sarawak to the British government as part of British Crown Colony in 1946. Kuching remained as capital during the Crown Colony period. After the formation of Malaysia in 1963, Kuching retained its status as state capital and was granted city status in 1988. Since then, Kuching has been divided into two administrative regions managed by two separate local authorities. The administrative centre of the Sarawak Government is officially located at Satria Pertiwi Complex (Kompleks Satria Pertiwi), Petra Jaya, Kuching.

Kuching is a major food destination and is a member of UNESCO's Creative Cities Network under the field of gastronomy. Kuching is also the main gateway for travellers visiting Sarawak and Borneo. Kuching Wetlands National Park is located about 30 km (19 mi) from the city and there are many other tourist attractions in and around Kuching such as Bako National Park, Semenggoh Wildlife Centre, Rainforest World Music Festival (RWMF), state assembly building, The Astana, Fort Margherita, Kuching Cat Museum, and Sarawak State Museum / Borneo Cultures Museum. The city has become one of the major industrial and commercial centres in East Malaysia.

The name "Kuching" was already in use for the city by the time Brooke arrived in 1839. There are many theories as to the derivation of the name "Kuching". It was perhaps derived from the Malay word for cat, "kucing", or from Cochin, an Indian trading port on the Malabar Coast and a generic term in China and British India for trading harbour. Some Hindu artefacts can be seen today at the Sarawak State Museum. However, another source reported that Kuching was previously known as "Sarawak" before Brooke arrived. The settlement was renamed to "Sarawak Proper" during the kingdom's expansion. It was only in 1872 that Charles Brooke renamed the settlement to "Kuching".

There was one unlikely theory based on a story of miscommunication. According to the story, James Brooke arrived in Kuching on his schooner Royalist. He then asked his local guide about the name of the town. The local guide mistakenly thought that Brooke was pointing towards a cat, and so had said the word "Kuching". However, ethnic Malays in Sarawak have always used the term "pusak" for cats (cognate with Filipino pusa), instead of the standard Malay word "kucing" (cognate with Filipino kuting which refers to kittens). Despite this etymological discrepancy, Sarawakians have adopted the animal as a symbol of their city, and it features in statues as well as the municipal council's coat of arms - an example of heraldic canting.

Some source also stated that it was derived from a fruit called "mata kucing" (Euphoria malaiense), a close relative of the Longan that grows widely in Malaysia and Indonesia. There was also a hill in the city that was named after the fruit, which is called Bukit Mata Kuching. Harriette McDougall writing to her son in the 19th century, stated that the name was derived from a stream of the same name, called "Sungai Kuching" or Cat River in English. On page 64 of Bampfylde and Baring-Gould's 1909 'A History of Sarawak under its Two White Rajahs', it says: "Kuching, the capital of Sarawak, is so called from a small stream that runs through the town into the main river...." The stream was situated at the foot of Bukit Mata Kuching and in front of the Tua Pek Kong Temple. In the 1950s, the river became very shallow because of silt deposits in the river. The river was later filled to make way for roads.

There is another theory that Kuching actually means "Ku" (古)- Old and "Ching" (井) - Well or "old well" (古井) in Chinese. During the Brooke administration, there was no water supply and water-borne diseases were common. In 1888, an epidemic broke out which later was known as "Great Cholera Epidemic". A well situated in the present day China Street in Main Bazaar helped to combat the disease by providing clean water supply. Due to increased demand for a water supply, the role of the well was later replaced by water treatment plant on the Bau Road.

Sarawak was part of the Bruneian Empire since the reign of the first Sultan of Brunei, Sultan Muhammad Shah. Kuching was the third capital of Sarawak, founded in 1827 by the representative of the Sultan of Brunei, Pengiran Indera Mahkota. Prior to the founding of Kuching, the two past capitals of Sarawak were Santubong, founded by Sultan Pengiran Tengah in 1599, and Lidah Tanah, founded by Datu Patinggi Ali in the early 1820s. The founding of Kuching was spurred by the discovery of antimony ore at the upper Sarawak river in 1924, which was in high demand in the market of nearby Singapore. A Dutch report mentioned that there lived about a hundred Malays and three houses of Chinese in the area shortly before the founding of Kuching. The arrival of Mahkota was not popular with the local Malay chiefs, whose autonomy was restricted by Mahkota's increasing tax and labour demands. The chiefs moved upriver, allied with Dayaks, and rebelled against Brunei. Neither side could gain an edge over the other until 1840 when Pengiran Raja Muda Hashim, the Bruneian Prime Minister, offered to hand over the governorship of Sarawak to British adventurer James Brooke to acquire his help to defeat the rebel chiefs.