Ms Symonds married Prime Minister Boris Johnson in a private ceremony at Westminster Cathedral on Saturday.
A small group of family and friends attended the ceremony and a reception in the gardens of 10 Downing Street afterwards.
Weddings of up to 30 people are currently permitted under current Covid restrictions.
The pair will have a larger celebration in 2022, when coronavirus restrictions are likely to have been relaxed.
This is set to take place on July 30 2022 - the date written on save-the-date cards sent out by the pair earlier this year.
According to reports, Ms Symonds will take the Prime Minister’s surname and be known as Carrie Johnson.
Boris’s former wives, Allegra Mostyn-Owen and Marina Wheeler, were known by their maiden names.
Mr Johnson became the first prime minister to marry in office since Lord Liverpool married Mary Chester in 1822.
It may be that in the eyes of the church Mr Johnson has never been married as neither of his nuptials were Catholic ceremonies.
Tory MPs and ministers congratulated the couple with messages on social media.
Conservative MP Alok Sharma sent “love, hugs and all best wishes”.
Culture minister Caroline Dinenage said the new Mrs Johnson “looks adorable”, while Health Secretary Matt Hancock offered the couple “best wishes on a happy future together”.
Chancellor Rishi Sunak described the couple as his “friends and neighbours” in his message.
A No 10 spokesman said: “The Prime Minister and Ms Symonds were married yesterday afternoon in a small ceremony at Westminster Cathedral.
“The couple will celebrate their wedding with family and friends next summer.”