Currently there are no direct flights Copenhagen to Kazakhstan.

Flights Copenhagen to Kazakhstan with 1 stopover:

Flights via Istanbul Ataturk (IST), Turkey
From Copenhagen (CPH), Denmark with Turkish Airlines Transfer at Istanbul Ataturk (IST), Turkey Then on to Almaty (ALA), Kazakhstan with Turkish Airlines
OR
Then on to Astana (TSE), Kazakhstan with Turkish Airlines
Flights via Amsterdam (AMS), Netherland
From Copenhagen (CPH), Denmark with KLM Transfer at Amsterdam (AMS), Netherland Then on to Almaty (ALA), Kazakhstan with KLM
Flights via Frankfurt am Main (FRA), Germany
From Copenhagen (CPH), Denmark with Lufthansa Transfer at Frankfurt am Main (FRA), Germany Then on to Almaty (ALA), Kazakhstan with Lufthansa
OR
Then on to Astana (TSE), Kazakhstan with Lufthansa
Flights via Kiev Borispol (KBP), Ukraine
From Copenhagen (CPH), Denmark with Aerosvit Airlines Transfer at Kiev Borispol (KBP), Ukraine Then on to Almaty (ALA), Kazakhstan with Aerosvit Airlines
OR
Then on to Astana (TSE), Kazakhstan with Aerosvit Airlines
Flights via St Petersburg Pulkovo (LED), Russia
From Copenhagen (CPH), Denmark with Rossiya Airlines Transfer at St Petersburg Pulkovo (LED), Russia Then on to Almaty (ALA), Kazakhstan with Rossiya Airlines
Flights via  Prague (PRG), Czech Republic
From Copenhagen (CPH), Denmark with Czech Airlines Transfer at  Prague (PRG), Czech Republic Then on to Almaty (ALA), Kazakhstan with Czech Airlines
Flights via London Heathrow (LHR), United Kingdom
From Copenhagen (CPH), Denmark with bmi
OR
From Copenhagen (CPH), Denmark with  British Airways
Transfer at London Heathrow (LHR), United Kingdom Then on to Almaty (ALA), Kazakhstan with bmi
OR
Then on to Almaty (ALA), Kazakhstan with British Airways
Flights via Istanbul Sabiha (SAW), Turkey
From Copenhagen (CPH), Denmark with Pegasus Airlines Transfer at Istanbul Sabiha (SAW), Turkey Then on to Almaty (ALA), Kazakhstan with Pegasus Airlines
Flights via Vienna (VIE), Austria
From Copenhagen (CPH), Denmark with Austrian Airlines Transfer at Vienna (VIE), Austria Then on to Astana (TSE), Kazakhstan with Austrian Airlines