Stockport Metropolitan Borough Council (SMBC), also known as Stockport Council, is the local authority of the Metropolitan Borough of Stockport in Greater Manchester, England. It is a metropolitan borough council and provides the majority of local government services in the borough. The council has been a member of the Greater Manchester Combined Authority since 2011.

The council has been under no overall control since 2011. Since 2022 it has been led by a Liberal Democrat minority administration. The council meets at Stockport Town Hall and has additional offices in the adjoining Stopford House and Fred Perry House.

The town of Stockport was an ancient borough, having been made a borough during the reign of Henry III (reigned 1216–1272). The original borough was entirely south of the River Mersey in Cheshire. The borough was reformed to become a municipal borough in 1836 under the Municipal Corporations Act 1835, at which point the boundaries were enlarged, with some of the gained area being on the north side of the Mersey in Lancashire; after 1836 the borough therefore straddled the two counties. The municipal borough was governed by a body formally called the 'mayor, aldermen and burgesses of the borough of Stockport', generally known as the corporation, town council or borough council.

When elected county councils were established in 1889, Stockport was considered large enough for its existing council to provide county-level services, and so it was made a county borough, independent from both Cheshire County Council and Lancashire County Council, whilst continuing to straddle the geographical counties of Cheshire and Lancashire. The borough boundaries were enlarged several times.

The larger Metropolitan Borough of Stockport and its council were created in 1974 under the Local Government Act 1972 as one of ten metropolitan districts within the new metropolitan county of Greater Manchester. The first election was held in 1973. For its first year the council acted as a shadow authority alongside the area's five outgoing authorities, being the borough council of Stockport and the urban district councils of Bredbury and Romiley, Cheadle and Gatley, Hazel Grove and Bramhall, and Marple. The new metropolitan district and its council formally came into being on 1 April 1974, at which point the old districts and their councils were abolished.

The metropolitan district was awarded borough status from its creation, allowing the chair of the council to take the title of mayor, continuing Stockport's series of mayors.

From 1974 until 1986 the council was a lower-tier authority, with upper-tier functions provided by the Greater Manchester County Council. The county council was abolished in 1986, under the Local Government Act 1985, and its functions passed to Greater Manchester's 10 borough councils, including Stockport, with some services provided through joint committees.

Since 2011 the council has been a member of the Greater Manchester Combined Authority, which has been led by the directly elected Mayor of Greater Manchester since 2017. The combined authority provides strategic leadership and co-ordination for certain functions across Greater Manchester, notably regarding transport and town planning, but Stockport Metropolitan Borough Council continues to be responsible for most local government functions.