What is the difference between minimum commission fee and trading commission fee?

No, they are not the same. Typically trading commission is charged either as a minimum fee or as a percentage of the transaction value. For example, SC charges 0.20% for SGX with a minimum commission of $10.70.

For the actual charge, you need to calculate the commission percentage from your transaction value. For example, 0.20% of a $1000 (share price x number of shares) transaction is $2. However since there is a minimum commission charge of $10.70, the commission payable is $10.70 instead of $2. On the other hand, if the transaction value is $10,000, the commission percentage value is $20. Hence the commission payable is $20 instead of $10.70. So whichever is higher will be commission payable.