It's always SO much easier to get a good answer if you give us the context in a full sentence.
I suppose you can say something like "That bed is easy to assemble, but this bed's assembling process was a nightmare!" (I'd say "assembly" rather than "assembling" and there are some people who would prefer "the assembly process of this bed.")
assemble a bed - Sounds like you buy it, take the pieces (eg the 4 legs and the frame) out of the box, and join them together.
make a bed - Sounds like you manufacture it at the bed factory. But the phrase normally means 'to put the sheets, blankets, etc, nicely on the bed, so that it is ready to sleep in.
Thanks for your fast replay. I'm now a registered user. This forum is great.
I'm sorry. Beeing for the first time here and yes you are right, the sentence in discussion was a question actually:" Tell me by the way how is bed assembling going on?"
Please why choose "assembly" rather than "assembling" in your sentence example? Can "assembling process" be used to show more of the action of assembling rather then "assembly process" ?