I have Bangladesh national Passport. But I have Permanent residence permit in Denmark. Should I need Visa for visit in cyprus?
Assuming you mean the Republic of Cyprus (the southern/Greek, internationally recognized part):
Cyprus is not in the Schengen area, but as a "future joiner" state it does apply some Schengen rules. One of these rules is that holders of residence permits from any Schengen countries are exempt from needing a visa for short visits.
So you do not need a visa, but you should bring both your passport and your Danish residence card.