In order to study the relation between martensitic transformation temperature range ?T(where ?T is the difference between martensitic transformation start and finish temperature) and lattice distortion ratio(c/a) of martensitic transformation, a series of Ni46Mn28-xGa22Co4Cux(x = 2–5) Heusler alloys is prepared by arc melting method. The vibration sample magnetometer(VSM) experiment results show that ?T increases when x > 4 and decreases when x < 4 with x increasing,and the minimal ?T(about 1 K) is found at x = 4. Ambient X-ray diffraction(XRD) results show that ?T is proportional to c/a for non-modulated Ni46Mn28-xGa22Co4Cux(x = 2–5) martensites. The relation between ?T and c/a is in agreement with the analysis result obtained from crystal lattice mismatch model. About 1000-ppm strain is found for the sample at x = 4 when heating temperature increases from 323 K to 324 K. These properties, which allow a modulation of ?T and temperature-induced strain during martensitic transformation, suggest Ni46Mn24Ga22Co4Cu4can be a promising actuator and sensor. In order to study the relation between martensitic transformation temperature range? T (where? Difference between martensitic transformation start and finish temperature) and lattice distortion ratio (c / a) of martensitic transformation, a series of Ni46Mn28- xGa22Co4Cux (x = The vibrational sample magnetometer (VSM) experiment results show that? T increases when x> 4 and decreases when x <4 with x increasing, and the minimal? T (about 1 K ) was found at x = 4. Ambient X-ray diffraction (XRD) results show that? T is proportional to c / a for non-modulated Ni46Mn28-xGa22Co4Cux (x = 2-5) martensites. The relation between? T and c / a is in agreement with the analysis result obtained from crystal lattice mismatch model. About 1000-ppm strain is found for the sample at x = 4 when the temperature increase is from 323 K to 324 K. These properties, which allow a modulation of? T and temperature-induced strain during martensitic transformat ion, suggest Ni46Mn24Ga22Co4Cu4can be a promising actuator and sensor.