In mixed doubles, she has reached two major finals, at the 2015 Wimbledon Championships with Alexander Peya, and the 2018 Australian Open partnering Rohan Bopanna.

1 for the first time in July 2018, holding the top ranking for 13 weeks, and was the first Hungarian player, male or female, to reach number one in either singles or doubles.

[2] She was originally a swimmer and was national champion in Hungary, but during that time she looked differently at swimming, finding it quite boring and as hard work, so she started to come with her sister to tennis practice at the age of 8.

[8] She began competing on the ITF Junior Circuit in September 2006 at the age of 13, winning the title in her debut event in doubles at the lowest-level Grade-5 Talentum Cup in homeland Hungary.

[11] The following year, she made a progress, reaching the semifinal in singles and final in doubles event at the Grade-1 Barranquilla Junior Tennis Tournament Country Club.

She won both singles and doubles title at the Copa Gatorade in January and at the Sarawak Chief Minister's Cup in March.

Partnering with Heather Watson, they lost to Elena Bogdan and Noppawan Lertcheewakarn after a tough final match, played in three sets.

Later, Babos left her mark at the Grade A Osaka Mayor's Cup, winning doubles event and finished runner–up in singles.

[9][10] Babos had a strong start into next season, winning her first singles tournament of the year, the Grade-1 Loy Yang Traralgon International.

[13] The first major for Babos came at the French Open in doubles event, defeating Lara Arruabarrena and María Teresa Torró Flor alongside Sloane Stephens in the final, and not dropping a singles set in the entire tournament.

[14] Babos then won another Grand Slam title with Stephens, defeating Irina Khromacheva and Elina Svitolina in the final of Wimbledon.

In early July, she made her WTA Tour debut at the Hungarian Open as a wildcard player, but lost to Timea Bacsinszky in the first round.

[18] Despite the fact she still didn't make her WTA Tour debut in doubles, Babos won four $25k events, two of them in Australia and one in the United Kingdom and in New Zealand.

[19] At the Hungarian Open in July 2011, Babos realized her first WTA match-win, defeating Anna-Giulia Remondina, but lost in the next round to Roberta Vinci.

[22] Babos continued to improve, making her Grand Slam debut at the French Open, where she lost to Sesil Karatantcheva in the first round.

[17] She then won her first WTA Tour doubles title at the Birmingham Classic with Hsieh, defeating Liezel Huber and Lisa Raymond in three sets.

Success she had on the ITF Circuit, where she won the $75k Kangaroo Cup in Gifu, and then the $100k Internationaux de la Vienne in Poitiers.

[24] In late June, Babos made big improvement, reaching her first Grand Slam final at Wimbledon alongside Mladenovic.

[24] At Wimbledon, she failed to repeat last year result, this time finishing alongside Mladenovic one round earlier, losing in the semifinals.

[24] At the end of the year, Babos debuted at the WTA Finals, where she alongside Mladenovic failed to pass the round-robin group.

[24][30] After years of weak singles performances, Babos, at the opening week, reached semifinal which she lost to Alison Riske.

[42] In her last two singles tournaments, Babos reached the quarterfinal at the Kremlin Cup and then qualified for the first time for the year-end WTA Elite Trophy.

[56][57][58] Later, in April, she reached another hardcourt singles final at the Monterrey Open, but this time lost to top seed Garbiñe Muguruza.

[24] Unlike at the Australian Open, this time Babos and Mladenovic, failed to win another Grand Slam title, losing to Ashleigh Barty and CoCo Vandeweghe.

At the start of the 2019 season, Babos alongside Mladenovic reached her first final at the Australian Open, but they lost to Samantha Stosur and Zhang Shuai in the straight-sets.

[72] In April 2019, she and Mladenovic won the Istanbul Cup, losing only one game in the final match against Alexa Guarachi and Sabrina Santamaria.

[77] In late February, she and Mladenovic missed the chance to reach another final, losing to Gabriela Dabrowski and Jeļena Ostapenko in three sets in the semifinal of the Qatar Ladies Open.

[85] Partnering Luisa Stefani, Babos won the doubles title at the WTA 500 Upper Austria Ladies Linz, defeating Lyudmyla and Nadiia Kichenok in the final which went to a deciding champions tiebreak.

During time she developed her game and now she is capable of throwing some nice variations with slices and drop-shots, as well as using her doubles skills to take the net often, trying to reach winners as much as possible.

Because of her height and power, her biggest strength is her serve, which really helps when she is playing on faster courts like grass or indoor hard.