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Not if all six reverse-charge conditions hold: the work is a construction operation within the CIS definition, it is standard-rated or reduced-rated, both of you are VAT registered, the customer is registered for CIS, the payment is reported within CIS, and the customer is neither an end user nor an intermediary supplier who has notified you in writing. In that case you invoice with no VAT and state that the customer must account for it. The important part is the default: if your customer has not notified you in writing that it is an end user or intermediary supplier, you must apply the reverse charge rather than assume normal VAT.
Where the supply is a construction operation, both parties are VAT registered, both are registered under CIS, the supply is standard or reduced rated, and the customer is not an end user or intermediary supplier, the reverse charge applies. You do not add VAT. You state on the invoice that the customer accounts for it.
The important part is which way round the default runs. Absent an end-user notification, the reverse charge is what applies. It applies unless your customer has told you in writing that they are an end user.
This is the single most common misunderstanding of the two regimes. The reverse charge uses the CIS definition of construction operations to set its scope, but it is not part of CIS. It applies where a payment has to be reported under the CIS regulations, regardless of whether a deduction is actually made. A subcontractor with gross payment status is still inside the reverse charge on the same work.
If you are unsure on a particular invoice, the reverse charge checker works through the conditions in order.
This question is part of The VAT domestic reverse charge, which covers the whole area.
Send us three months of payment and deduction statements. We will tell you what is wrong, what it is costing, and whether gross payment status would fix it.