add a column in python with rows number

I have a dataset like these

Now I would like to create an additional row, which is the id. ID is equal to the row number but + 1

df = df.assign(ID=range(len(df)))

But unfortunately the first ID is zero, how can I fix that the first ID begins with 1 and so on

I want these output

but I got these

How can I add an additional column to python, which starts with one and gives for every row a unique number so for the second row 2, third 3 and so on.