peugeot 206 shake

Hello friends..
As I climbed uphill today, I realized that the car was shaking as if it could not get gasoline. There was gas in the car, but it made such a problem. It was as if it would stop completely towards the end of the slope.
Also, when I hit the gas a little while going on the straight road, it again shook.
what do you think the problem might be?