Several bus and trolleybus lines serve the area around City Park, offering flexible connections from various parts of the city. The Hősök tere M bus stop is a major hub, served by lines 20E, 30, 30A, 105, 210, 210B, and 230. Trolleybus lines 70, 72, 74, 75, and 79 also have stops conveniently located near the park's entrances, such as at Olof Palme sétány and Állatkert. These routes connect the park to key transport hubs like Keleti Railway Station and other central locations.

The historic Metro Line M1 (Yellow Line) provides the most direct access to City Park. The key station is Széchenyi fürdő, located within the park and just a 2-3 minute walk from major attractions like the Széchenyi Thermal Bath and Vajdahunyad Castle. Another nearby station on the same line is Hősök tere (Heroes' Square), situated at the main entrance to the park. This line runs from Vörösmarty tér in the city center, under the length of Andrássy Avenue, making it a convenient and scenic route for tourists. Trains run frequently, typically every 2 to 5 minutes during the day.

City Park is highly accessible on foot, particularly for those exploring the surrounding attractions. It is located at the end of the grand Andrássy Avenue, a UNESCO World Heritage site, making for a scenic and enjoyable walk from the city center. The park itself is designed with an extensive network of pedestrian paths connecting its gardens, lakes, and landmarks.

Budapest is a bike-friendly city, and cycling to City Park is a popular option. Dedicated bike lanes can be found along Andrássy Avenue and other major routes leading to the park. Inside the park, numerous paths are suitable for cycling, allowing visitors to explore the vast green space at their own pace. Public bike-sharing services are also available throughout the city, with docking stations often located near the park's entrances.

Travelers can reach City Park by car via major roads such as Dózsa György út, which runs along the southern edge of the park, and the Kós Károly sétány, a promenade that runs through it. However, driving within the park is restricted. Street parking is available in the surrounding areas, which fall into different paid parking zones with varying hourly rates and time limits. Finding a vacant spot can be challenging, especially during peak season or events. Several P+R (Park and Ride) lots are available near metro stations on the city's outskirts, offering a convenient alternative to driving into the center.

Taxis and ride-sharing services offer a direct and convenient way to reach City Park. A typical taxi ride from the city center to the park takes approximately 8-15 minutes, depending on traffic. Drop-off is recommended at Heroes' Square or near the Széchenyi Thermal Bath entrance for easy access to the park's main attractions.