Is there any problem if I have done a Bachelor of Arts with psychology as the main subject but not an honors degree in Germany?

No, not having an honors degree is not necessarily a problem if you have a Bachelor of Arts with psychology as your main subject and want to apply for a Master's in Psychology in Germany.

Eligibility depends on each university’s requirements. Most German universities expect a Bachelor’s in Psychology or a closely related field with enough core psychology coursework (typically around 180 ECTS credits). Some may ask you to show your degree is equivalent to a German Bachelor’s in Psychology or require you to take bridge courses if prerequisites are missing.