By Air
There are daily flights from Arlanda airport in Stockholm to Lycksele airport. You can book online here:
Or call +46 (0)950-275 50
You can also fly to Umeå, 130 km east of Lycksele and then take a train or bus to Lycksele. The following airlines fly between Arlanda (Stockholm) and Umeå: SAS and Norwegian
Malmö aviation flies from the smaller Bromma Airport in Stockholm
By Train or Buss
There are several trains and busses daily between Umeå and Lycksele. Here are schedules. (NORR is the shortening for Norrtåg, i.e., the trains)
By Car
From Umeå, drive east towards Mo i Rana on road E12. After 130 km you will reach Lycksele.