The British parliament approved the Marriage (same-sex couples) Act 2013 in July, enabling same sex weddings in England and Wales, Xinhua reported, citing a statement issued by the department of culture, media and sport.
At the same time, the British government has also worked hard to "ensure that all the arrangements are in place to enable same sex couples to marry as soon as possible," it said.
Miller said: "Marriage is one of our most important institutions, and from March 29, 2014, it will be open to everyone, irrespective of whether they fall in love with someone of the same sex or opposite sex."
Couples among first to marry need to submit notice of intention by Mar 13.
"This is just another step in the evolution of marriage and I know that many couples up and down the country will be hugely excited that they can now plan for their big day and demonstrate their love and commitment to each other by getting married," she said.
According to the new law, couples wishing to be among the first to marry will need to formally give notice of their intention to marry by March 13.
Miller said couples in civil partnerships, which have been legal since 2005, will be able to convert their relationship to marriage by the end of next year.