The club used a variety of grounds in Glasgow as a venue for home matches in the years between 1872 and 1899. The first was Flesher's Haugh, situated on Glasgow Green, followed by Burnbank in the Kelvinbridge area of the city, and then Kinning Park for ten years from the mid-1870s to the mid-1880s. From February of the 1886–87 season, Cathkin Park was used until the first Ibrox Park, in the Ibrox area of south-west Glasgow, was inaugurated for the following season. Ibrox Stadium in its current incarnation was originally designed by the architect Archibald Leitch, a Rangers fan[133] who also played a part in the design of, among others, Old Trafford in Manchester and Highbury in London. The stadium was inaugurated on 30 December 1899, and Rangers defeated Hearts 3–1 in the first match held there.

Since 1899, two major disasters have taken place at the stadium. The first occurred in 1902 during a Scotland vs England international match, when a section of terracing collapsed, leading to the deaths of 26 people and over 500 injuries. The second disaster took place in 1971, during the traditional New Year's Day Old Firm match. As the crowd were leaving the match, barriers on the stairway to the rear of passageway 13 at the Copland End collapsed, causing a crush and resulting in the deaths of 66 people, with over 200 injuries. This led to a major redevelopment of Ibrox, overseen by the general manager Willie Waddell, including its conversion to an all-seater stadium. Ibrox was awarded UEFA five-star stadium status, now obsolete.

The stands in Ibrox are: The Bill Struth Main Stand (south; three tiers; the top one known as the Club Deck), Govan Stand (north; two tiers), and the Copland (east) and Broomloan (west) Stands (both two tiers), which are behind the goals. In addition to these, there are also the East and West Enclosures (in the lower tier of the Main Stand), and the two corners adjacent to the Govan Stand are filled in. As a result of work completed in the summer of 2006 to make the Bar 72 area situated in the Govan Stand, the total capacity of Ibrox is 51,082.[2] On 22 August 2006, Rangers announced that the Main Stand would be renamed The Bill Struth Main Stand in September 2006 to commemorate the 50th anniversary of the death of their former manager, who served Rangers for 34 years.[135] There are currently plans underway for a redevelopment of Ibrox stadium which could result in Ibrox being rebuilt as a 70,000 seated stadium – which would make it the second largest club football stadium in Britain after Old Trafford. The official Rangers Website was quoted as saying: "We are analysing three strategies which would enhance the development of the existing outline planning proposals for the Hinshelwood area to the south of the stadium. One of the strategies includes the total rebuilding of Ibrox Stadium while retaining the brick facade, the tradition and the integrity of the Bill Struth Main Stand".[136]

Rangers training facility is located in Auchenhowie, near Milngavie in Glasgow. The facility is known as Murray Park after chairman Sir David Murray. It was proposed by then-manager Dick Advocaat upon his arrival at the club in 1998. It was completed in 2001 at a cost of £14 million. Murray Park is the first purpose-built facility of its kind in Scotland, and incorporates features including nine football pitches, a state of the art gym, a hydrotherapy pool, and a video-editing suite. Rangers' youth teams are also accommodated at Murray Park, with around 140 players between under-10 and under-19 age groups using the training centre.[137] Various first-team players have come through the ranks at Murray Park, including Alan Hutton, Chris Burke, Stevie Smith, John Fleck and Charlie Adam. International club teams playing in Scotland, as well as national sides, have previously used Murray Park for training, and Advocaat's South Korea team used it for training prior to the 2006 World Cup.