From the airport to Vilnius you can get on the bus number 1. Coming from the bus station to the bus station in Vilnius in Grodno ride buses on schedule:
|13:00 (Fri,Sat,Sun)||18:00 (Fri,Sat,Sun)|
|14:50 (Mon,Wed, Thu,Sat,San)||19:35 (Mon,Wed, Thu,Sat,San)|
|06:10 (Mon,Wed,Thu,Sat,Sun)||9:00 (Mon,Wed,Thu,Sat,Sun)|
|07:10 (Fri,Sat,Sun)||10:10 (Fri,Sat,Sun)|
From the airport to Warsaw it is possible to get in the daytime by buses 148, 175, 188 and 331, at night - by bus number 32.
There are also direct buses from the airport to Grodno.
Bus schedule Warsaw-Grodno and Grodno-Warsaw:
|10:30 (from airport)||18:00|
|14:35 (from airport)||23:50|
|17:35 (from airport)||02:30(Fri,Sat,Sun)|
The Grodno-Warsaw/Warsaw-Grodno bus timetable is available here: http://avgrodno.by/raspisanie/
From Warsaw to Grodno, you can get with one transfer to Belostok, Poland.
There is a possibility to travel to Grodno from Bialystok by bus/minibus, which run daily from Bialystok bus station at 12:00; 13:00; 14:40; 15:30; 16:00; 17:00; 19:10. The timetable is at your disposal here: http://avgrodno.by/raspisanie/
From the National Airport Minsk to Minsk go by buses № 300Э and 173Э, minibus №1400-TK, №1430-TK. BUS № 300Э (follow up Central bus station).
From Minsk to Grodno you can come by bus or by train.
The railway station is situated near the bus station.
The timetable is available here: http://rasp.rw.by/ This site also service online-ticketing is available.