Peeta deeply loved Katniss and when the Games Maker, Seneca Crane, reversed the earlier rule he made allowing two ‘Players’ to live instead of the normal one victor provided that both came from the same district Peeta told Katniss to kill him so she could be the sole survivor.
However Katniss realised that there HAD to be a winner so she picked up the berries and gave some to Peeta and told Peeta that they should die together rather than give Crane the satisfaction of having a winner. Peeta did not realise Katniss knew that Crane would not allow both of them to die and that is why stopped Katniss and Peeta from eating the berries.
She was obviously right because as soon as they both had counted to three and started raising the berries to their mouths the Crane quickly pronounced both as winners.
The great thing is that Snow hated what the Crane did and he was taken to a room with the same type of berry that Katniss was going to eat and he knew he was expected to eat them and die, which he obviously did.
Poseidon