She was arrested while checking in with an airline on Saturday, said Superintendent Andre Traut.
"Her suitcase was equipped with a false compartment, containing 1.2kg tik with a street value to the tune of R360,000."
She was arrested and expected to appear in court on Monday.
The woman was one of four people caught for drug possession over the weekend.
On Sunday, police arrested an Ethiopian man at a bus stop in Bellville, Cape Town after searching his belongings.
The 24-year-old man was allegedly found with 132 khat plants with a street value of R10,000.
Khat is a plant with a mild amphetamine-like effect. It is usually cultivated and chewed in East Africa and the Middle East where it is generally legal.
In another case, two South African men, aged 26 and 32, were arrested on Sunday for possession of 129 cartons of Mega cigarettes which had been illegally imported to avoid tobacco taxes.
They would appear in the Bellville Magistrate's Court on Monday.
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