Alexander Speirs (died 5 October 1844) was a Scottish politician who sat in the House of Commons from 1835 to 1841. Speirs was the son of Archibald Speirs and his wife Margaret Dundas, daughter of Thomas Dundas, 1st Baron Dundas. In 1835 Speirs was elected Member of Parliament for Richmond. He held the seat until 1841. He was Lord-Lieutenant of Renfrewshire from 8 August 1838 until his death.