Does research require a certain kind of personal abilities or is it a matter of hard work? I've failed to finish my master thesis, I thought this was attributed to the minimal supervision of my adviser - he/she wasn't an expert in the domain of thesis and didn't give me any kind of insights or help - only general advice - and I was let to do all the work alone and I failed to finish a good thesis (Another reason I thought was the lack of my background courses and again I had to study everything from start without focus on the target which took too much time).

Now I have a chance of interning at a good research lab, the problem that I face now is that I'm afraid that I don't have the ability/skill to do a good research. Does research require a certain kind of personal abilities or is just a matter of hard work?
Although the question is vague, the implicit distinction in it is perhaps the whole point: being able to focus and genuinely work hard over long periods of time, in the face of fatigue, frustration, etc., is itself a particular talent.

To explain, consider Mozart in music: it's not that he could magically play and compose, but, rather, that he was able to practice a crazy amount starting at an early age, and acquired profiency... So, a significant part of the "talent" was the capacity to practice long-and-hard. Yes, one can argue that also the ability to benefit from long-and-hard practice is important. And, all the more resoundingly, long-and-hard work is necessary, although one may fail to benefit from it, even if one does manage it (or is forced by parents or other circumstances).

No, it is not normal to be able to focus on anything at all at an early age, and perhaps even later it would not be normal to be able to entertain a multi-year project. To be able to do so _at_all_ I think (upon some observation) is a talent. To be able to succeed to some degree is a further talent, and there is an element of luck involved in "high success". But the latter "test" is not often reached. An example of sufficient focus but lack of other necessities is "crackpots" or "cranks". Even so, in some cases they are eventually vindicated! :)