Let the two integers be x and x+1, since they are consecutive.

Now according to the problem statement:

x + (x+1) = -67

=> 2x+1 = -67

=> 2x = -68

=> x = -34

So the two integers are: -34 and -34+1=-33.

If by mistake you meant the sum is 67, then

x + (x+1) = 67

=> 2x+1 = 67

=> 2x = 66

=> x = 33.

So the two integers are: 33 and 33+1=34.