How to Get 2 Year Old to Fall Asleep on Her Own?

Have her climb in bed, tuck her in. Read her a quiet book. One kiss

For the first few nights, you could stay with her till she falls asleep, or just walk out the door. If you stay, no talking.

If she cries that is okay. You know the difference between her 'I'm in trouble' cry and the 'come back cry'. It's okay. She may cry for a few minutes. If she is still crying after 15 mins, check on her, but don't enter the room.

We also would put a baby gate across the door. If she got out of bed and played for a few minutes that was okay (depending on the time). If she fell asleep on the floor, that was okay too.

Won't be easy. Routine,. Put her in her bed, give her kiss. Maybe sit with her for a few mi utes. Explain she is a big girl and needs to go to sleep in her bed. You will have a few rough nits, but she will get it. It is non negotiable at this point.

try googling "ferber method". that should help

You may have to do it in stages, M.. Like laying down with her (does she have a twin bed or? You don't say) until she falls asleep. Once she's got that down, then you move on to saying goodnight and she puts herself to sleep on her own. There's no real surefire way; each child is different and what may work for one may not for another. Ours couldn't do it on her own until 3 years.

Pretty much Toughlove at this point ;)

Google the Ferber method. Here's advice for getting a 14 month old to sleep, it's sound for a two year old as well:
http://www.ivillage.com/helping-your-toddler-sleep-alone/...

Explain to her she's a big girl now and mommy isn't going to put her to sleep in her arms anymore.
Do your nighttime routine, bath, pj's, book as she cuddles in your lap, then put her in bed, lights out, say "good night" and shut the door. Make sure she has a lovey to snuggle with.
If she cries refer to the Ferber method. When you go in don't turn on the light, talk or engage in any way, just lay her back down. Be consistent. If she comes out of her room put a strong gate across it. The stronger you are the easier it will be for her, she'll know you are serious.
It more than likely will take more than a night, steel yourself. Her job is to cry, yours is to set limits.