The Edinburgh Leith constituency was entirely within the city, and covered the Central Leith, South Leith, and West Leith wards. Therefore the area of the constituency was similar to that of the former burgh of Leith, as merged into the city in 1920.
The results of the First Periodical Review of the Boundary Commission were implemented for the 1955 general election, and Edinburgh Leith was again one of seven constituencies covering the city of Edinburgh and the burgh of Musselburgh, all named as during the 1950 to 1955 period. The rest of the county of Midlothian was now covered, however, by the new Midlothian constituency.
The Edinburgh Leith constituency again covered wards named Central Leith, South Leith, and West Leith, but the overall boundary of the constituency was different.
For the county of Midlothian, inclusive of the city of Edinburgh, the general pattern established by the First Periodical Review was maintained for the general elections of 1959, 1964, 1966, 1970, February 1974, October 1974 and 1979. There were boundary adjustments, however, which became effective for the 1964 election and, as a result of the Second Periodical Review, for the February 1974 election.
Edinburgh Leith was not affected by the 1964 changes. For the February 1974 election, the constituency was designed to cover the Central Leith, South Leith, and West Leith wards and part of the Pilton ward of city.