The boots will be placed in Gallery 61 next to a pair of ancient Egyptian sandals, the museum has confirmed.
"We've made an exciting new acquisition!" the museum posted on Twitter.
The "Egyptian Pharoah" as he is fondly called by his fans at Liverpool will now have his boots displayed in the museum's Egyptian collection.
Salah has also attained national-treasure status in Egypt after his late penalty in a 2-1 win over DR Congo secured his country's qualification to this summer's World Cup in Russian Federation.
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Neal Spencer, assistant keeper of the museum's Ancient Egypt and Sudan department, said the boots were an important exhibition of modern Egyptian history.
"The boots tell a story of a modern Egyptian icon, performing in the United Kingdom, with a truly global impact, and build on our recent project to acquire objects to tell the story of daily life in 20th and 21st century Egypt" said exhibit keeper Neal Spencer.
Salah has been superb this season, scoring 32 Premier League goals and playing a major part in the Reds' run to the Champions League final, where they will face Real Madrid.
His boots will be added to the world famous Egyptian collection next week in the lead up to the Champions League final.