Bismillah Walhamdulillah Was Salaatu Was Salaam ‘ala Rasulillah
Narrated ‘Asim bin Sulaiman (Radi-Allahu ‘anhu):

I asked Anas bin Malik about Safa and Marwa. Anas replied, “We used to consider (i.e. going around) them a custom of the Pre-islamic period of Ignorance, so when Islam came, we gave up going around them. Then Allah revealed” “Verily, Safa and Marwa (i.e. two mountains at Makkah) are among the Symbols of Allah. So it is not harmful of those who perform the Hajj of the House (of Allah) or perform the ‘Umra to ambulate (Tawaf) between them.” (2.158)

Bukhari Vol. 6 : No. 23