if I add your line to my program, I get the following error

print Dumper $curr{my}[2], $curr{my}[2]{AB}, \%CD;

Global symbol "%CD" requires explicit package name at ./test.pl line 14.

In addition, how do you print the elements of $curr when using use strict?

   foreach (keys %{$curr{"my"}->[2]}){
            print  $_, " ", $curr{"my"}->[2]{$_}, " ";
    }
    print "\n";
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First, you have to

use Data::Dumper;
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to be able to use Dumper.

Second, %CD is created only without strict.

لսႽ† ᥲᥒ⚪⟊Ⴙᘓᖇ Ꮅᘓᖇ⎱ Ⴙᥲ𝇋ƙᘓᖇ

it's seems that I can access $curr{"my"}->2{"AB"} correctly but not for CD as the key when using strict. Why?

Do you have the solution how to build and access the array of hash correclty? I get more and more confused

It's simple.

$curr{my}[2] = 'CD';
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There's no hash under 2, only a string. So you can't access a hash. The solution is to build the structure correctly.

لսႽ† ᥲᥒ⚪⟊Ⴙᘓᖇ Ꮅᘓᖇ⎱ Ⴙᥲ𝇋ƙᘓᖇ

I don't want to build. I already build %currHash and then, want to assign the whole %currHash to the 3rd array element of %curr. Then, I will change the value of the keys of the hash which is the 3rd element of array of %curr but I don't want that %currHash gets changed

If I do such assignment, how come that the value of the CD doesn't exist when assigning %currHash or %tmp?

You have to change the way you build the structure, because it's the source of the problem. Please read all the comments and linked pages again to understand.

push @currArr, %currHash;
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This line does not insert a hash into an array. It flattens the hash to a list to be inserted. Use Data::Dumper to visualize the resulting structures. What structure do you exactly want to build? If you want to create a copy of a shallow hash, use

push @currArr, { %currHash };
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To create a deep copy, see Clone or Storable.

لսႽ† ᥲᥒ⚪⟊Ⴙᘓᖇ Ꮅᘓᖇ⎱ Ⴙᥲ𝇋ƙᘓᖇ

Also how to access the value of CD using strict?

I have no idea. push @currArr,%currHash doesn't seem to be correct and can't think of any thing else. I just want to build an array of hash; that is, the 3rd el of @currArr is %currHash