This study investigates the correlation between dynamic relaxation and viscoelasticity in three types of metallic glasses with distinct β relaxation behavior. The research explores stress relaxation and creep experiments, revealing a transition from two-step to one-step relaxation with increasing temperature in systems with significant β relaxation. However, this transition is absent in systems with weaker β relaxation. The two-step relaxation process is modeled using a double Kohlrausch-Williams-Watts equation, with relaxation times following the Arrhenius relationship. Activation energies and theoretical analysis confirm that these processes correspond to β and α relaxations. The relaxation time spectra of both processes are analyzed, establishing a comprehensive link between dynamic relaxation and viscoelasticity. The study provides new strategies for understanding the complex relaxation behaviors of glasses from the perspective of viscoelasticity. Metallic glasses, dynamics relaxation, two-step relaxation, stress relaxation, creep. The study focuses on the relaxation dynamics and viscoelastic properties of three types of metallic glasses with distinct β relaxation behavior. It reveals that systems with significant β relaxation exhibit a transition from two-step to one-step relaxation with increasing temperature. The two-step relaxation process is modeled using a double Kohlrausch-Williams-Watts equation, with relaxation times following the Arrhenius relationship. Activation energies and theoretical analysis confirm that these processes correspond to β and α relaxations. The relaxation time spectra of both processes are analyzed, establishing a comprehensive link between dynamic relaxation and viscoelasticity. The study provides new strategies for understanding the complex relaxation behaviors of glasses from the perspective of viscoelasticity.This study investigates the correlation between dynamic relaxation and viscoelasticity in three types of metallic glasses with distinct β relaxation behavior. The research explores stress relaxation and creep experiments, revealing a transition from two-step to one-step relaxation with increasing temperature in systems with significant β relaxation. However, this transition is absent in systems with weaker β relaxation. The two-step relaxation process is modeled using a double Kohlrausch-Williams-Watts equation, with relaxation times following the Arrhenius relationship. Activation energies and theoretical analysis confirm that these processes correspond to β and α relaxations. The relaxation time spectra of both processes are analyzed, establishing a comprehensive link between dynamic relaxation and viscoelasticity. The study provides new strategies for understanding the complex relaxation behaviors of glasses from the perspective of viscoelasticity. Metallic glasses, dynamics relaxation, two-step relaxation, stress relaxation, creep. The study focuses on the relaxation dynamics and viscoelastic properties of three types of metallic glasses with distinct β relaxation behavior. It reveals that systems with significant β relaxation exhibit a transition from two-step to one-step relaxation with increasing temperature. The two-step relaxation process is modeled using a double Kohlrausch-Williams-Watts equation, with relaxation times following the Arrhenius relationship. Activation energies and theoretical analysis confirm that these processes correspond to β and α relaxations. The relaxation time spectra of both processes are analyzed, establishing a comprehensive link between dynamic relaxation and viscoelasticity. The study provides new strategies for understanding the complex relaxation behaviors of glasses from the perspective of viscoelasticity.