Now that Spring is here, I have been getting some questions about where one can bring garden and kitchen waste for composting in Hungary. Compostable organic waste comprises 25-40% of the average household's waste. Imagine this in terms of extra landfill capacity, unnecessary garbage collection fees, and the loss soil health that could be achieved by reusing this waste through composting methods. Compost is the end product of the decomposition of organic matter, including: garden waste, kitchen scraps, manure, leaves, grass clippings, straw...Composted organic matter is a valuable soil additive because it can improve soil structure, aid in necessary microbial activity in the soil, attract beneficial insects such as earthworms, suppress several soil-born diseases, and holds its nutrients in slow release form allowing for availability throughout the growing season. source

Admittedly, I have never tried any of the services listed below, but this is the information I have found:

Fokert Rt. Budapest X. ker. Keresztúri u.130 Telefon: 261-8425. Free for Budapest residents, 1280 huf + VAT for companies, Fokert accepts up to 100kg at a time. Open hours M-Th 7.00-15.00 F 7.00 - 12.30. Maximum tree
trunk and/branch sizes accepted 25-30 cm.

COMPOSTAL Kft. Tárnok 2461, Pusztazámori u. Hrsz 0207/6. tel: 06-23/711-064, compostal@compostal.hu, Domaföldi Zsolt 06-30/9416-233. All types of compostable waste accepted Call for price quote.

Fovárosi Közterület Fenntartó Rt (FKF) Roadside pickup in Budapest and taken to their Pusztazámori Regionális Hulladékkezelo Központ for composting, FKF Zrt accepts leaves, tree and bush cuttings not longer than 1 meter bundled and tied together seprately, weeds and grass clippings. You must purchase special thick bags with the FKF logo on them for curbside pickup.

60 liter capacity bags 115 Ft/bag
100 liter 180 Ft/bag
100 liter (at MOL gas stations) 2079 Ft /10 db (package)
prices include VAT and pickup fee.

The following companies will pick up from your home for a fee:

Bálint és Orbán Kft: branches, leaves, roots, fruit and vegetable waste...

Hepi-trans Bt: garden waste, leaves and branches by container 

Puskás Péter, machine chipping of wood waste of up to 15cm thick branches, all across Hungary.

For advice on home composting, please contact the NGO Szike Egyesület tel: (1) 409-04-49, or HuMuSz (1) tel: 386-26-48.