The ever-increasing human population together with shortage of arable land is the current developmental challenge for developing countries including Ethiopia. So that, intercropping becoming an alternative agronomic practice enabling efficient utilization of resource in special and temporal arrangements that ensures increasing agricultural production per unit area. The experiment was conducted at Adet Zuria within Yilmana Densa district in the WestGojjam Administrative Zone of Amhara Region, Northwest Ethiopia for the purpose of evaluation of effect of varieties and time of intercropping on growth, yield and yield components of component crops. The experiment was laid out in randomize complete block design in a factorial combination of two varieties of maize (BH 546 AND BH 661), two haricot bean varieties (Batu and Lehode), three times of plantings of haricot bean (simultaneous, two weeks later and four weeks later after maize sowing) and four sole cropping treatments in three replications. The data from phenological, growth and yield parameters of component crops were analysed by using SAS software procedures 9.4 version. The analysis of variance revealed that number of pods per plant, number of seed per pod and grain yield was significantly affected by (both varieties of the component crops) and time of sowing in which variety Batu simultaneously intercropped with BH 546 gave greater values. With regard to maize components, delay planting of intercropped haricot bean affects leaf number per plant and cob number; as planting was delayed by four weeks leaf number was increased by (0.99) from 14.90-15.89, similarly cob numbers were showed increments from 1.50-1.69 as sowing time delayed by 30 days. Grain yield was also influenced by the main effect of varieties of maize and the interaction effect of haricot bean varieties with time of sowing where by variety BH 661 and haricot bean variety Batu intercropped four weeks after maize sowing recorded higher values 7817.7 kg/ha and 7922.6 kg/ha, respectively. On the other hand, intercropping also significantly affects most of component crops parameters where the higher values were recorded in sole cropped treatments. Interms of land use efficiency results, BH 661 simultaneously intercropped with variety Batu recorded the higher LER (1.61) and ATER (1.27) values. Generally, even though it is impossible to deliver valuable recommendation in one-year experiment at a single experimental site, haricot bean variety Batu simultaneously intercropped with BH 661 was the ideal varietal combination with right time of sowing observed in the study area.