Brand New Apartments For Rent Near Memorial City Mall Houston . Apartment rent in memorial city has increased by 4.0% in the past year. Check rates, compare amenities and find your next rental on apartments.com. Midway changes Memorial Green mixeduse development plans, scraps from www.bizjournals.com See all 6,789 apartments for rent near memorial city mall in houston, tx. Apartment communities regularly advertise deals for new residents. 2001 s voss rd, houston, tx 77057.